Question

Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each.

A. Jane is 13 and Harvey is 39
B. Jane is 12 and Harvey is 48
C. Jane is 13 and Harvey is 48

Answer 1

A. Jane is 13 and Harvey is 39

Explanation:

Let's say Harvey's age is H and Jane's age is J

Given:

H = 3J

H + J = 52

Use substitution to find Jane age:

H + J = 52

(3J) + J = 52

4J = 52

J = 13

Plug J-value in any equation to find H-value:

H + J = 52

H + 13 = 52

H = 39

Therefore, Jane is 13 and Harvey is 39. Answer A would be the correct answer.