Question

What is the present age of son ?
Statements:
I. Five years ago, father was twice as old as his son.
II. Now father is 18 years older than his son.
III. The age of father and mother taken together is 30 years more than the son.

• A. Only I and III are sufficient
• B. Only II and III are sufficient
• C. Only I and II are sufficient
• D. All of I, II and III are not sufficient

Answer 1

The correct option is C Only I and II are sufficient

Let the age of father $=$ x

Let the age of son $=$ y

According to Statement 1

x - 5 $=$ 2y

According to statement 2

x $=$ y + $18$

Solving the equations we get y $=$ 13 and y $=$ 31

Son's age $=$ 13 and father's age $=$ 31

Hence only statement 1 and 2 are sufficient to answer the question.

option C