Numerical: Problems on Ages MCQ — 15 Practice Questions with Answers

Explanation

Let the present ages of the younger and elder brothers be 3x and 5x years. After 8 years, their ages will be 3x + 8 and 5x + 8. Given ratio: (3x + 8)/(5x + 8) = 5/7. Cross-multiplying, 7(3x + 8) = 5(5x + 8). So 21x + 56 = 25x + 40, hence 16 = 4x and x = 4. The elder brother’s present age is 5x = 20 years.

Explanation

Let the daughter's present age be x years. Then the mother's present age is 4x. Eight years ago, their ages were 4x − 8 and x − 8. Given 4x − 8 = 8(x − 8). So 4x − 8 = 8x − 64, giving 56 = 4x and x = 14. The mother is 56 years old and the age difference is 42 years. After 10 years, their ages will be 66 and 24, and 66 is not 3 times 24. Therefore, statement D is incorrect.

Explanation

Let Nisha's present age be x years. Then Rekha's present age is x + 6 years. After 4 years, their ages will be x + 4 and x + 10. Their sum is given as 40, so (x + 4) + (x + 10) = 40. Thus 2x + 14 = 40, giving 2x = 26 and x = 13. Nisha is 13 years old and Rekha is 19 years old. Their product is 19 × 13 = 247. Hence, all three statements are correct.

Explanation

Let Nisha's present age be x years. Since Riya is 8 years older, Riya's present age is x + 8. Four years from now, their ages will be x + 4 and x + 12. Their sum is 54, so x + 4 + x + 12 = 54. This gives 2x + 16 = 54, hence 2x = 38 and x = 19. Riya's present age is 19 + 8 = 27 years.

Explanation

Let Suresh’s present age be x years. Since Ramesh is 24 years older, Ramesh’s present age is x + 24 years. After 6 years, their ages will be x + 6 and x + 30. The condition says Ramesh will be twice Suresh’s age, so x + 30 = 2(x + 6). Thus x + 30 = 2x + 12, giving x = 18. Hence Suresh’s present age is 18 years.