Question

A girl is half as old as her sister and is also two years younger than her brother. If the sum of the three children's ages is 34 years, what is the product of their ages?

ASAP pls

Answer 1

1280

Explanation:

Let x represent the age of the girl then...

Brother: x+2

Sister: 2x

We can use this to set up an equation:

x+x+2+2x=34

Combine like terms

4x+2=34

Subtract 2 from both sides

4x=32

Divide both sides by 4

x=8 (girl)

x+2=10 (brother)

2x=16 (sister)

Now, we multiply these three numbers to get the product of their ages.

8(10)(16)=80(16)=1280