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 :)