Question

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.

Answer 1

let h = H's age
let j = J's age
:
Write an equation for each statement:
;
"Harvey is 3 times as old as Jane."
h = 3j
:

"The sum of their ages is 48 years."
h + j = 48
From the 1st statement, replace h with 3j
3j + j = 48
4j = 48
j = 48/4
j = 12 yrs is J's age
then
3(12) = 36 yrs is H's age