Question

A and B are friends. A is older to B by 5 years. C is half the age of B while A's father D is 8 years older than twice the age of B. If the present age of D is 48 years, find the present age of A.

• A. 25 years
• B. 26 years
• C. 24 years
• D. 28 years

Answer 1

The correct option is A 25 years

$A=B+5\Rightarrow A-5=8$
$C=\frac{1}{2}B$
$D=2B+8$
$\Rightarrow 48=2(A-5)+8$
$\Rightarrow 48-8=2(A-5)\Rightarrow 40=2(A-5)$
$\Rightarrow 20=A-5\Rightarrow A=25$