SOLUTION: The sum of the ages of Carter and Maisha is 77 years. 10 years ago, Carter's age was 2 times Maisha's age. How old is Carter now?

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Question 1195209: The sum of the ages of Carter and Maisha is 77 years. 10 years ago, Carter's age was 2 times Maisha's age. How old is Carter now?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sum of the ages of Carter and Maisha is 77 years.
10 years ago, Carter's age was 2 times Maisha's age.
How old is Carter now?
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10 years ago, the sum of Carter and Maisha ages was 77-10-10 = 57,

and Carter's age was twice Maisha's age.



From it, easy mental effort tells you that 10 years ago

Maisha was 57/3 = 19 years old, while Carter was 2*19 = 38 years old.



Hence, now Maisha is 19+10 = 29 years old, while Carter is 38+10 = 48 years old.



CHECK.  29 + 48 = 77 years.   ! Correct !

Solved and explained.



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
c, Carter's age
77-c, Maisha's age
c-10=2%28%2877-c%29-10%29
.
.
c-10=134-2c
.
c=48