SOLUTION: Mary is 2 times Tim's age. Tim is 5 more than Gina's age. Mary is 3 times Gina's age. How old are they altogether?
Algebra.Com
Question 828778: Mary is 2 times Tim's age. Tim is 5 more than Gina's age. Mary is 3 times Gina's age. How old are they altogether?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Let M = Mary's age
Let T = Tim's age
Let G = Gina's age
.
The question tells us the following:
M = 2T
T = G+5
M = 3G
or, M = 2T = 3G
Substitute the value for T
M = 2(G+5)
M = 2G + 10
Now substitute the value given for M
3G = 2G + 10
Subtract 2G from each side:
G = 10
.
Now that we know Gina's age, we can plug the others in.
Mary is 3x Gina's age, or 30
Tim is 5 years older than Gina, or 15 (we can prove that by the other statement that Mary is twice Tim's age)
.
Add them together:
Mary 30 + Tim 15 + Gina 10 = 55
RELATED QUESTIONS
Tim is 6 years older than Scott. Mike's age is 3 times Tim's age. The sum of Tim and... (answered by josgarithmetic,ikleyn)
James is 3 times Tim’s age. If I times their ages together, I get 48. How old are... (answered by ikleyn,Alan3354)
The ratio of Gene's age to Sherry's age is 5: 8. Five years later, the ratio of Gina's... (answered by josgarithmetic)
Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan’s age... (answered by marcsam823)
Mary is the younger than her sister Joan. The sum of their age is 15. Twice Joan’s age... (answered by checkley77)
tim is 4 more than lisas age. cindy is eight less than 5 times lisas age. if tim and... (answered by josgarithmetic)
Two years less than three times Mary’s current age is the same as one year less than two... (answered by ankor@dixie-net.com)
Mary’s mom is four less than three times Mary’s age. Their combined age is 60. How... (answered by josgarithmetic)
Tim is twice as old as his son. In 6 yrs Tim’s age will be three times what his sons age... (answered by Paul)