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) About Me  (Show Source):
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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