SOLUTION: Tessa is 6 years younger than Grace. The sum of their ages is 72 years. How old is Grace?

Question 963620: Tessa is 6 years younger than Grace. The sum of their ages is 72 years. How old is Grace?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
G=Grace's age: T=Tessa's age=G-6yrs
T+G=72 years Substitute for T
(G-6yrs)+G=72 years Add 6 years to each side.
2G=78 years Divide each side by 2
G=39 years ANSWER: Grace is 39 years old.
CHECK:
T=G-6yrs=39yrs-6yrs=33yrs
Tessa is 33 years old.
T+G=72 years
33yrs+39yrs=72yrs
72yrs=72yrs
RELATED QUESTIONS
Tessa is 6 years older than grace. The sum of their ages is 72 years. How old is grace? (answered by Alan3354)

Grace is 8 years older than her brother Sam. The sum of their ages is 24. How old is... (answered by lefty4ever26)

grace is 8 years older than her brother sam. the sum of their ages is 20. how old is... (answered by Alan3354)

Grace is three years younger then her sister Jane. Twice the sum of their ages is 4 more (answered by ankor@dixie-net.com)

grace is 4 times as old as vicky.five years ago, vicky was 30 years younger than grace.... (answered by 303795)

Grace is 4 times as old as Vicky. Five years ago, Vicky was 30 years younger than grace.... (answered by josgarithmetic)

Rose is 8 years older than vera,who is twice as old as Grace.If the sum of their ages is... (answered by josgarithmetic)

Grace is twice as old as Janice. seven years hence, the sum of their ages will be 44... (answered by JulietG)

Roz is twice as old as Grace. In 5 years the sum of their ages will be 28. How old are... (answered by maribeth_abella,Earlsdon)