SOLUTION: 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 ? years old.

Algebra ->  Average -> SOLUTION: 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 ? years old.       Log On


   



Question 1097423: 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
? years old.
Harvey is
? years old.


Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
let H be Harvey's age and J be Jane's age, then
:
1) H = 3 * J
2) H + J = 48
:
use equation 1) and substitute for H in equation 2)
:
3 * J + J = 48
:
4J = 48
:
J = 12
:
H = 3 * 12 = 36
:
********************************
Jane is 12 years old
Harvey is 36 years old
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: