Question

Sarah and her brother are 6 years apart. Right now, the ratio of their ages is 3:4. How old are both of them right now?

Answer 1

Sarah: 18

Brother: 24

Explanation:

The difference in ratio units is 4-3 =1. The difference in years is 6, so 1 ratio unit stands for 6 years.

Multiplying by 6, we have ...

... Sarah : Brother = 3·6 : 4·6 = 18 : 24

Sarah is 18; her brother is 24.