Question

Cassidy is 3 times as old as Drew in 8 years Cassidy will only be twice as old as Drew. How old is Cassidy right now?

Answer 1

Data

• Cassidy is 3 times as old as Drew

,

• In 8 years Cassidy will only be twice as old as Drew.

Procedure

Let d represent Drew's age and c represent Cassidy's age. Then:

$c=3d$

Based on the information given in the problem, we can build the following relation:

$3d+8=2\left(d+8\right)$

Thus, we can simplify it as follows:

$3d+8=2d+16$

Grouping similar terms:

$3d-2d=16-8$

$d=8$

As we have the age of Drew, we can calculate the age of Cassidy:

$c=3\times8=24$

Answer: Cassidy is 24 years old.