SOLUTION: Madge is six years older than Bruce. In five years the sum of their ages will be thirty-six. How is bruce

Question 1111193: Madge is six years older than Bruce. In five years the sum of their ages will be thirty-six. How is bruce
Found 2 solutions by ikleyn, TeachMath:
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.

M - B = 6 ("Madge is six years older than Bruce") (M+5) + (B+5) = 36 ("In five years . . . ") =======> M + B = 36 - 5 - 5 = 26. So, you have M - B = 6 M + B = 26 -------------------- Add the equations 2M = 6+26 = 32 ====> M = 32/2 = 16. ==========> B = 10. ANSWER. M is 16, B is 10.

Answer by TeachMath(96) (Show Source): You can put this solution on YOUR website!
If in 5 years' time, their ages sum to 36, then currently their ages sum to 36 - 2(5), or 36 - 10 = 26

Let Bruce's age be B
Then Madge's is: B + 6
We then get: B + B + 6 = 26
2B = 20
B, or Bruce is 20/2, or 10 years-old
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