Question

Emma is four times as old as Carly. Carly is three times as old as Alanna. If the sum of their ages is 64 what are their ages?

Answer 1

Given:

Emma is four times as old as Carly. Carly is three times as old as Alanna. If the sum of their ages is 64.

Required:

What are their ages?

Explanation:

We have,

Emma is four times as old as carly.

$\begin{gathered} Emma=4\times Carly \\ Carly=3\times Alanna \end{gathered}$

Sum of their ages is 64. That is,

$\begin{gathered} Emma+Carly+Alanna=64 \\ 12\times Alanna+3\times Alanna+Alanna=64 \\ 16\times Alanna=64 \\ Alanna=4 \\ So,Carly=3\times4=12 \\ Emma=4\times12=48 \end{gathered}$

Answer:

Age of Emma, Carly and carly is 48, 12 and 4 respectively.