SOLUTION: Cary is 7 years older than Dan. In 10 years the sum of their age will be 103. How old are they now?

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Question 1145796: Cary is 7 years older than Dan. In 10 years the sum of their age will be 103. How old are they now?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

Use elimination method.
Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.
C = D + 7                   (1)     "Cary is 7 years older than Dan."


(C + 10) + (D + 10) = 103   (2)     "In 10 years the sum of their age will be 103."


From (2)


C + D = 103 - 20 = 83       (3)


Substitute (1) into (2).


(D+7) + D = 83

2D + 7 = 83

2D     = 83 - 7 = 76

 D              = 76/2 = 38.


ANSWER.  Dan is 38 years old.  Cary is 38+7 = 45 years old.

Solved.



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