Solve this problem in your notebook using all four steps. harvey is 3 times as old as jane. the sum of their ages is 48 years. find the age of each. jane is a0 years old. harvey is a1 years old.

Jane is 12 and Harvey is 36

Step-by-step explanation:

The jane is 12 years old and Harvey is 36 years old.

Explanation:

Let jane's age is defined by J and Harvey's age is defined by H.

It is given that the Harvey is 3 times as old as Jane. It means the age of Harvey is 3 times of the age of jane.

H = 3J       (1)

It also given that the sum their ages is 48.

H + J  = 48     (2)

Using equation (1), Put H = 3J,

3J + J =48

4J = 48

J = 12

Substitute this value is equation (1).

H = 3(12)

H = 36

Therefore, the Jane's age is 12 and the Harvey's age is 36.