Question

A father is currently 4 times as old as his son. Two years ago,he was 5 times as old as his son. The father is currentlyyears olda 25b 50с60d 32

Answer 1

Let the age of the father is x and the age of the son is y

The father is currently 4 times as old as his son

So,

`x=4y`

Two years ago, he was 5 times as old as his son

So,

`(x-2)=5(y-2)`

by substitute from (x = 4y) in the last equation:

`\begin{gathered} 4y-2=5(y-2) \\ 4y-2=5y-10 \\ 10-2=5y-4y \\ 8=y \end{gathered}`

so, the age of the son = 8

So, the age of the father = 4 * 8 = 32

The answer is option d. 32