Problems on Ages Worksheet-2

Problems on Ages Worksheet-2

1. The ratio of the father's age to his son's age is 7 : 3. The product of their ages is 756. The ratio of their ages after 6 years will be:

(a) 5 : 2              (b) 2 : 1               (c) 11 : 7             (d) 13 : 9

2. The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

(a) 8, 20, 28     (b) 16, 28, 36    (c) 20, 35, 45    (d) None of these

3. The ratio of the ages of a man and his wife is 4 : 3. After 4 years, this ratio will be 9 : 7. If at the time of marriage, the ratio was 5 : 3, then how many years ago were they married?

(a) 8 years         (b) 10 years       (c) 12 years        (d) 15 years

4. The ratio between the school ages of Neelam and Shaan is 5 : 6 respectively. If the ratio between the one-third age of Neelam and half of Shaan's age is 5 : 9, then what is the school age of Shaan?

(a) 25 years                                    (b) 30 years

(c) 36 years                                    (d) Cannot be determined

(e) None of these

5. The ratio between the present ages of A and B is 5 : 3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1 : 1. What is the ratio between A's age 4 years hence and B's age 4 years ago?

(a) 1 : 3               (b) 2 : 1               (c) 3 : 1               (d) 4 : 1

(e) None of these

6. Ten years ago, A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages?

(a) 20 years       (b) 30 years      (c) 45 years       (d) None of these

7. A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B?

(a) 7                    (b) 8                    (c) 9                    (d) 10

(e) 11

8. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is:

(a) 14 years       (b) 18 years       (c) 20 years       (d) 22 years

9. Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:

(a) 54                  (b) 72                  (c) 105                (d) 108

10. A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

(a) 32 years       (b) 36 years       (c) 40 years       (d) 48 years

Answer Key:

(1)-b; (2)-b; (3)-c; (4)-d; (5)-c; (6)-d; (7)-d; (8)-d; (9)-d; (10)-c