Question

The present age of a Man is 2 years more than four times the age of a Boy. Four years hence, Man’s age will be 16 years more than twice the age of the boy. Find the present age of the Man.
1. 40
2. 36
3. 38
4. 30

Answer 1

Correct Answer - Option 3 : 38

Calculation 

Let the present age of boy be x and man be y

According to the question 

⇒ y = 4x + 2      ----(1)

After 4 years, age of the man = y + 4

After 4 years age of the boy = x + 4

Accordingly,

y + 4 = 2(x + 4) + 16      ----(2) 

From 1 and 2, we get x = 9, and y = 38 

∴ The present age of Man is 38 years