Question

Nine years later, age of B will be equal to the present age of A. Sum of A's age 3 years later and B's age 4 years ago is 76. If C is half of the present age of B, then what will be C's age (in years) after 10 years?

• A. 32
• B. 36
• C. 27
• D. 31

Answer 1

The correct option is C 27

Let $a,b,c$ be the respective present ages of $A,B,C$
$a-b=9$
$a+3+b-4=76$
$a=43,b=34$
$c=\frac{b}{2}=17$
C's age after 10 years $=17+10=27$