Question

the ratio of sadia's age to her father's age is 3:6. The sum of their age is 96 .What is sadia's age​

Answer 1

We have,

$a:b=3:6,a+b=96$

Introduce variable $x$ such that $a=3x,b=6x$

The sum $a+b=96$ is therefore $9x=96\implies x=10.\overline{6}$

So,

$a=3\cdot10.\overline{6}=\boxed{32}$ (sadia's age)

$b=6\cdot10.\overline{6}=\boxed{64}$ (father's age)

Hope this helps :)