Question 1

The ratio of the ages of Arun and Bhavna is 5:3. If Arun is 20 years old, what is Bhavna's age?

Accepted Answer

Step 1: Let Arun's age = 5x and Bhavna's age = 3x. Step 2: Given Arun is 20 years old, so 5x = 20, which gives x = 4. Step 3: Bhavna's age = 3x = 3 × 4 = 12 years.

Question 2

The sum of the ages of Arjun and Bheem is 48 years. The ratio of their ages is 5:7. What is Bheem's age?

Accepted Answer

Step 1: Let Arjun's age = 5x and Bheem's age = 7x. Step 2: Sum of their ages = 5x + 7x = 12x = 48. Step 3: Solving for x: x = 48/12 = 4. Step 4: Bheem's age = 7x = 7(4) = 28 years.

Question 3

The ratio of ages of Ravi and Sita is 7:5. The sum of their ages is 48 years. What is Ravi's age?

Accepted Answer

Step 1: Let Ravi's age = 7x and Sita's age = 5x (from ratio 7:5). Step 2: Sum of ages = 7x + 5x = 12x = 48. Step 3: Solving, x = 48/12 = 4. Step 4: Ravi's age = 7x = 7 × 4 = 28 years.

Question 4

The ratio of ages of Mira and Nisha is 7:5. Four years hence, their ages will be in the ratio 11:9. What is Mira's current age?

Accepted Answer

Step 1: Let Mira's current age = 7x and Nisha's current age = 5x. Step 2: Four years hence, Mira's age = 7x + 4 and Nisha's age = 5x + 4. Step 3: Given that (7x + 4):(5x + 4) = 11:9. Step 4: Cross-multiply: 9(7x + 4) = 11(5x + 4) → 63x + 36 = 55x + 44 → 8x = 8 → x = 1. Step 5: Mira's current age = 7x = 7(1) = 7 years.

Question 5

The ratio of the present ages of Aman and Bina is 3:2. After 6 years, their ages will be in the ratio 5:4. What is Aman's present age?

Accepted Answer

Step 1: Let Aman's present age = 3x and Bina's present age = 2x (from ratio 3:2). Step 2: After 6 years, Aman's age = 3x + 6 and Bina's age = 2x + 6. Step 3: After 6 years, ratio is 5:4, so (3x + 6)/(2x + 6) = 5/4. Step 4: Cross-multiply: 4(3x + 6) = 5(2x + 6) → 12x + 24 = 10x + 30 → 2x = 6 → x = 3. Step 5: Aman's present age = 3x = 3 × 3 = 9 years.

Question 6

The ratio of the present ages of Esha and Faisal is 6:5. After 6 years, the ratio of their ages will be 7:6. What is Esha's present age?

Accepted Answer

Step 1: Let Esha's present age = 6x and Faisal's present age = 5x. Step 2: After 6 years, Esha's age = 6x + 6 and Faisal's age = 5x + 6. Step 3: Given that (6x + 6):(5x + 6) = 7:6. Step 4: Cross-multiply: 6(6x + 6) = 7(5x + 6) → 36x + 36 = 35x + 42 → x = 6. Step 5: Esha's present age = 6x = 6(6) = 36 years.

Question 7

Chitra's age is 3 times Deepak's age. If the sum of their ages is 40 years, what is Deepak's age?

Accepted Answer

Step 1: Let Deepak's age = x. Then Chitra's age = 3x. Step 2: Sum of their ages = x + 3x = 4x = 40. Step 3: Solving for x: x = 40/4 = 10 years. Step 4: Deepak's age = 10 years.

Question 8

Five years ago, the ratio of Priya's age to Qasim's age was 4:5. If Qasim is currently 30 years old, what is Priya's current age?

Accepted Answer

Step 1: Qasim's current age = 30 years. Step 2: Five years ago, Qasim's age was 30 - 5 = 25 years. Step 3: Five years ago, ratio was Priya:Qasim = 4:5, so Priya's age five years ago = (4/5) × 25 = 20 years. Step 4: Priya's current age = 20 + 5 = 25 years.

Question 9

Gita's age is 3/4 of Hari's age. After 6 years, Gita's age will be 5/6 of Hari's age. What is the difference between their present ages?

Accepted Answer

Step 1: Let Hari's present age = H and Gita's present age = G. Step 2: From condition 1: G = (3/4)H. Step 3: After 6 years: Gita's age = G + 6, Hari's age = H + 6. Step 4: From condition 2: G + 6 = (5/6)(H + 6). Step 5: Substitute G = (3/4)H into the second equation: (3/4)H + 6 = (5/6)(H + 6). Step 6: Expand: (3/4)H + 6 = (5/6)H + 5. Step 7: Rearrange: 6 - 5 = (5/6)H - (3/4)H. Step 8: 1 = (10/12)H - (9/12)H = (1/12)H. Step 9: H = 12. Step 10: G = (3/4)(12) = 9. Step 11: Difference = H - G = 12 - 9 = 3 years.

Question 10

The ratio of the present ages of Arun and Bhavna is 5:3. If Arun is 10 years older than Bhavna, what will be the ratio of their ages after 6 years?

Accepted Answer

Step 1: Let Arun's present age = 5x and Bhavna's present age = 3x. Step 2: Given, 5x - 3x = 10, so 2x = 10, thus x = 5. Step 3: Arun's present age = 25 years, Bhavna's present age = 15 years. Step 4: After 6 years, Arun's age = 31 years, Bhavna's age = 21 years. Step 5: Ratio = 31:21. Therefore, the answer is 31:21.

Question 11

The present ages of Meera and Nisha are in the ratio 7:5. Six years hence, their ages will be in the ratio 5:4. What was the ratio of their ages 4 years ago?

Accepted Answer

Step 1: Let Meera's present age = 7m and Nisha's present age = 5m. Step 2: Six years hence, Meera's age = 7m + 6 and Nisha's age = 5m + 6. Step 3: Given, (7m + 6):(5m + 6) = 5:4. Step 4: Cross multiply: 4(7m + 6) = 5(5m + 6). Step 5: 28m + 24 = 25m + 30. Step 6: 3m = 6, so m = 2. Step 7: Meera's present age = 7(2) = 14 years, Nisha's present age = 5(2) = 10 years. Step 8: Four years ago, Meera's age = 14 - 4 = 10 years, Nisha's age = 10 - 4 = 6 years. Step 9: Ratio = 10:6 = 5:3. Therefore, the answer is 5:3.

Question 12

The ratio of the present ages of Arun and Bhavna is 4:5. After 8 years, the ratio of their ages will be 6:7. What is Arun's present age?

Accepted Answer

Step 1: Let Arun's present age = 4x and Bhavna's present age = 5x. Step 2: After 8 years, Arun's age = 4x + 8 and Bhavna's age = 5x + 8. Step 3: Form equation: (4x + 8)/(5x + 8) = 6/7. Step 4: Cross-multiply: 7(4x + 8) = 6(5x + 8) → 28x + 56 = 30x + 48 → 8 = 2x → x = 4. Step 5: Arun's present age = 4 × 4 = 16 years.

Question 13

Five years ago, the ratio of Chitra's age to Deepak's age was 3:4. Five years hence, the ratio will be 4:5. What will be Chitra's age after 10 years?

Accepted Answer

Step 1: Let Chitra's age 5 years ago = 3y and Deepak's age 5 years ago = 4y. Step 2: Present ages: Chitra = 3y + 5, Deepak = 4y + 5. Step 3: After 5 years (5 years hence): Chitra = 3y + 10, Deepak = 4y + 10. Step 4: Form equation: (3y + 10)/(4y + 10) = 4/5. Step 5: Cross-multiply: 5(3y + 10) = 4(4y + 10) → 15y + 50 = 16y + 40 → y = 10. Step 6: Chitra's present age = 3(10) + 5 = 35 years. Step 7: After 10 years, Chitra's age = 35 + 10 = 45 years.

Question 14

The ratio of Meera's age to Neha's age is 5:7. If Meera were 4 years older and Neha were 4 years younger, the ratio would be 1:1. What is the difference between their present ages?

Accepted Answer

Step 1: Let Meera's present age = 5k, Neha's present age = 7k. Step 2: If Meera were 4 years older: 5k + 4. If Neha were 4 years younger: 7k - 4. Step 3: Given that (5k + 4):(7k - 4) = 1:1, which means 5k + 4 = 7k - 4. Step 4: Solve: 5k + 4 = 7k - 4 → 8 = 2k → k = 4. Step 5: Meera's age = 5(4) = 20 years, Neha's age = 7(4) = 28 years. Step 6: Difference = 28 - 20 = 8 years.

Question 15

Sanjay's age is 40% more than Tanya's age. Five years ago, Sanjay's age was 50% more than Tanya's age. What is Sanjay's present age?

Accepted Answer

Step 1: Let Tanya's present age = T. Sanjay's present age = 1.4T (40% more). Step 2: Five years ago: Tanya's age = T - 5, Sanjay's age = 1.4T - 5. Step 3: Given that 1.4T - 5 = 1.5(T - 5). Step 4: Expand: 1.4T - 5 = 1.5T - 7.5. Step 5: Solve: 1.4T - 1.5T = -7.5 + 5 → -0.1T = -2.5 → T = 25. Step 6: Sanjay's present age = 1.4(25) = 35 years.

Question 16

The ratio of the present ages of Usha and Vimla is 6:5. After 6 years, the ratio will be 7:6. If Wina's present age is 2 years less than the average of Usha and Vimla's present ages, what is Wina's present age?

Accepted Answer

Step 1: Let Usha's present age = 6m, Vimla's present age = 5m. Step 2: After 6 years: Usha = 6m + 6, Vimla = 5m + 6. Step 3: Given (6m + 6):(5m + 6) = 7:6. Step 4: Cross multiply: 6(6m + 6) = 7(5m + 6) → 36m + 36 = 35m + 42 → m = 6. Step 5: Usha's age = 6(6) = 36, Vimla's age = 5(6) = 30. Step 6: Average = (36 + 30)/2 = 33. Step 7: Wina's age = 33 - 2 = 31 years.

Question 17

Aman's age is 3/5 of Bhumi's age. If Aman were 5 years older and Bhumi were 5 years younger, Aman's age would be 4/5 of Bhumi's age. What is the sum of their present ages?

Accepted Answer

Step 1: Let Bhumi's present age = B. Aman's present age = (3/5)B. Step 2: Hypothetical scenario: Aman's age = (3/5)B + 5, Bhumi's age = B - 5. Step 3: Given (3/5)B + 5 = (4/5)(B - 5). Step 4: Expand: (3/5)B + 5 = (4/5)B - 4. Step 5: Rearrange: 5 + 4 = (4/5)B - (3/5)B → 9 = (1/5)B → B = 45. Step 6: Aman's age = (3/5)(45) = 27. Step 7: Sum = 27 + 45 = 72 years.

Question 18

The ratio of ages of A and B is 7:5. Four years ago, the ratio of their ages was 3:2. After how many years will the ratio of their ages be 9:7?

Accepted Answer

Step 1: Let current ages be A = 7x and B = 5x. Step 2: Four years ago: (7x - 4):(5x - 4) = 3:2. Cross multiply: 2(7x - 4) = 3(5x - 4) → 14x - 8 = 15x - 12 → x = 4. Step 3: Current ages: A = 28, B = 20. Step 4: After n years: (28 + n):(20 + n) = 9:7. Cross multiply: 7(28 + n) = 9(20 + n) → 196 + 7n = 180 + 9n → 16 = 2n → n = 8.

Question 19

The ratio of ages of A, B, and C is 4:7:9. Six years ago, the sum of their ages was 62. After how many years will the ratio of ages of A and C be 3:5?

Accepted Answer

Step 1: Let current ages be 4x, 7x, 9x. Six years ago: (4x−6)+(7x−6)+(9x−6)=62 → 20x−18=62 → 20x=80 → x=4. Step 2: Current ages: A=16, B=28, C=36. Step 3: Let after n years, A:C = 3:5 → (16+n)/(36+n) = 3/5 → 80+5n=108+3n → 2n=28 → n=14. Therefore, after 14 years.

Question 20

The ratio of ages of Meera and Neha five years ago was 5:4. The ratio of their ages five years hence will be 6:5. What is the ratio of their current ages?

Accepted Answer

Step 1: Let ages five years ago be Meera = 5x and Neha = 4x. Step 2: Current ages: Meera = 5x + 5, Neha = 4x + 5. Step 3: Five years hence: Meera = 5x + 10, Neha = 4x + 10. Step 4: Given ratio five years hence: (5x + 10):(4x + 10) = 6:5. Step 5: Cross multiply: 5(5x + 10) = 6(4x + 10) → 25x + 50 = 24x + 60 → x = 10. Step 6: Current ages: Meera = 5(10) + 5 = 55, Neha = 4(10) + 5 = 45. Step 7: Ratio = 55:45 = 11:9.

SSC CHSL Ages Problems

Ages Problems— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Ages Problems — Practice Questions

60-Second Revision — Ages Problems