The difference between the ages of mother and son was 21 when mother’s age was 43. If father is elder by 3 years to mother, what will be the ages of son when father attains 50 years?
The difference between the ages of mother and son was 21 when mother’s age was 43. If father is elder by 3 years to mother, what will be the ages of son when father attains 50 years?
1). 21
2). 22
3). 23
4). 26
1 answers
Let the ages of father, mother and son be x, y and z
Given that mother’s age was 43 ⇒ y = 43
Also given that difference between the ages of mother and son was 21
⇒ y – z = 21
⇒ 43 – z = 21
⇒ z = 43 – 21 = 22
∴ Son’s age was 22 years
Also given that father is elder by 3 years to mother,
⇒ x = 3 + y = 3 + 43 = 46
∴ When the age of father is 46 years, the age of son is 22 years
⇒ When the age of father is 50 years, the age of son is 26 years
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