# CBSE Class 10 Answered

**The sum of the ages of the father and two son is 68. one son is older than the other by four years. when the elder son's age becomes equal to that of fathers present age, the sum of their ages is 140 find there present age**

Asked by Jibu19291 | 31 May, 2019, 01:53: PM

Expert Answer

Let the present age of Father = x years

the present age of elder son = y

the present age of younger son = y - 4

The sum of the ages of the father and two son is 68.

x + y + y - 4 = 68

→ x + 2y = 72 .... (i)

Accroding to the condition in the question, we get

2x - y + x + x - 4 = 140

→ 4x - y = 144 ... (ii)

Solving (i) and (ii), we get

y = 16, x = 40

Therefore the present age of Father = 40 years

the present age of elder son = 16 years

the present age of younger son = 12 years

Answered by Yasmeen Khan | 31 May, 2019, 03:37: PM