Question

The ratio of Jake's age to Alan's age is 10:9. The ratio of Erin's age to Alan's age is 29:27. What is the ratio of Jake's age to Erin's age?

1) 10:9
2) 9:10
3) 27:29
4) 29:27

Answer 1

The ratio of Jake's age to Erin's age is 10:9.

Step-by-step explanation:

To find the ratio of Jake's age to Erin's age, we need to compare their ages to Alan's age and then compare those ratios.

First, we'll set up the ratio of Jake's age to Alan's age as 10:9. This means that for every 10 years that Jake ages, Alan ages 9 years.

Next, we'll set up the ratio of Erin's age to Alan's age as 29:27. This means that for every 29 years that Erin ages, Alan ages 27 years.

To find the ratio of Jake's age to Erin's age, we can compare the ratios of Jake's age to Alan's age and Erin's age to Alan's age. We can simplify both ratios by dividing each side by their respective denominators.
For Jake's age to Alan's age, we get 10/9. For Erin's age to Alan's age, we get 29/27. Therefore, the ratio of Jake's age to Erin's age is 10:9.