SOLUTION: Michael is 8 years older than Amber. In 8 years the sum of their ages will be 76. How old is Michael now?

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Question 947334: Michael is 8 years older than Amber. In 8 years the sum of their ages will be 76. How old is Michael now?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
If the sum of the ages in eight years will be 76, the current sum is 76-16=60 (subtract eight years for each).
M=Michael's age; A=Amber's age=M-8
M+A=60 Substitute for A
M+(M-8)=60 Add 8 to each side
2M=68 Divide each side by 2
M=34 ANSWER: Michael is 34 years old
CHECK
A=M-8=26 years old Amber is 26 years old
In eight years, sum will be 76:
(M+8)+(A+8)=76
(34+8)+(26+8)=76
42+34=76
76=76