Question

4) Sum of the ages of father and son is 68. After 8 years father will be thrice as old as son. The present age (in years) of the son is A) 18 B) 16 C) 15 D) 13 On is 60% more than that of B's income, then


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Answer 1

Answer:

Hence, the present age of the son is 13 years.  

Option (D) 13 is correct

Step-by-step explanation:

Given:

Sum of ages of father and son = 68  

After 8 years the age of father will be thrice as old as son.

To find: The present age (in years) of the son.

 

Solution:

Let the present age of father be x and that of son be y.

x + y = 68 …………. (1)

After 8 years:

age of father = x + 8

age of son = y + 8

A.T.Q:

(x + 8) = 3(y + 8)

x + 8 = 3y + 24

x = 3y + 24 - 8

x = 3y + 16 ………..(2)

Put this value of x  in equation 1:

x + y = 68

3y + 16 + y = 68

4y + 16 = 68

4y = 68 - 16

4y = 52

y = 52/4

y = 13 years  

Present age of son = 13 years

Hence, the present age of the son is 13 years.  

Option (D) 13 is correct.