Question

Taylor is 78 years younger than sydney.9 years ago, sydney’s age was 4 times Taylor’s age. How old is Taylor now?

Answer 1

Let

Sydney age = x

Taylors age = (x - 78)

9 years ago their age can be represented as follows

$\begin{gathered} 4(x-9)=78-9 \\ 4(x-78-9)=x-9 \\ 4(x-69)=x-9 \\ 4x-276=x-9 \\ 3x=267 \\ x=\frac{267}{3} \\ x=89 \\ \text{Taylors age=89-78=11} \end{gathered}$

Taylor's age = 11