SOLUTION: THE SUM OF TOM'S, DICK'S AND HARRY'S AGES IS 31. TOM IS TWICE AS OLD AS DICK. HARRY IS 6 YEARS OLDER THAN TOM. USE ALGEBRA TO FIND EACH MAN'S AGE.

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Question 386950: THE SUM OF TOM'S, DICK'S AND HARRY'S AGES IS 31. TOM IS TWICE AS OLD AS DICK. HARRY IS 6 YEARS OLDER THAN TOM. USE ALGEBRA TO FIND EACH MAN'S AGE.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
TOM IS TWICE AS OLD AS DICK. HARRY IS 6 YEARS OLDER THAN TOM
Let x, 2x and (2x+6) represent dick's, tom's and harry's ages respectively
Question states
x +2x + (2x+6) = 31
Solving for s
5x + 6 = 31
5x = 25
x = 5, dick's age. tom is 10 (2*5) and harry is 16 (2*5 + 6)
CHECKING our Answer
5 + 10 + 16 = 31
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