SOLUTION: Amanda is 20 years older than Jenny. the sum of their ages is 44. How old are they?

Algebra.Com
Question 851524: Amanda is 20 years older than Jenny. the sum of their ages is 44.
How old are they?

Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
Here's what we know:
A = J + 20 (Amanda is 20 years older than Jenny)
A + J = 44 (the sum of their ages is 44.)
Substitute the value of A into the second equation.
(J+20) + J = 44
Add
2J + 20 = 44
Subtract 20 from each side
2J = 24
Divide each side by 2
J = 12
.
If Jenny is 12, then Amanda is 12+20, or 32.
Do those add up to 44? Yes, 12+32 is 44.
Success!

RELATED QUESTIONS

A man is 20 years older than his son,the sum of their ages are 50. How old are... (answered by algebrahouse.com)
Carissa is 8 years older than Joseph. The sum of their ages is 26 years. How old are... (answered by josgarithmetic)
A man is 20 years older than his son.if the sum of their ages is 50 years,how old are... (answered by Simnepi)
Jenny is twice as old as Jimmy. Jesse is 10 years older then jimmy. If the sum of their... (answered by lwsshak3,DrBeeee)
Pat is 20 years older than his son. In two years, the sum of their ages will be 90. How... (answered by jorel1380)
Mio is 18 years older than Yui. Fourteen years ago the sum of their ages was 20. How old... (answered by richwmiller)
Jason is 20 years older than tiana. In 5 years, the sum of their ages will be 84. How old (answered by MathLover1,josgarithmetic)
jon is 13 years older than tony. the sum of their ages is 27. how old are... (answered by richwmiller)
kristin is 5 years older than jake. The sum of their ages is 33 how old are... (answered by rfer)