Question

The ages of two friends Ani and Biju differ by $3$ years. Ani's father Dharam is twice as old as Ani and Biju as twice as old as his sister Cathy. The ages of Cathy and Dharam differ by $30$ years. Find the ages of Ani and Biju.

Answer 1

Consider the ages of ANi, Biju, Cathy and Dharam be $a,b,c,d$

Given that,

$a-b=3$-----(1)

and

$2a=d$ and $2c=b$

Also

$d-c=30$

From above information we have,

$\Rightarrow 2a-\frac{b}{2}=30$

$\Rightarrow 4a-b=60$-----(2)

Solving eq (1) and (2) Simultaneously

$4a-b=60$

$a-b=3$

- + -

__________

$3a=57$

$\Rightarrow a=19$ and $b=16$