SOLUTION: Gorge is 4 times as old as Henry in 3 years the sum of their ages will be 86 how old is Henry

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Question 1158150: Gorge is 4 times as old as Henry in 3 years the sum of their ages will be 86 how old is Henry

Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let Henry's age = +x+
+4x+ = Gorge's age
+x+%2B+3+ = Henry's age in 3 yrs
+4x+%2B+3+ = Gorge's age in 3 yrs
-----------------------------------------
given:
+x+%2B+3+%2B+4x+%2B+3+=+86+
+5x+%2B+6+=+86+
+5x+=+80+
+x+=+16+
Henry is 16
-------------------
check:
+4x+=+4%2A16+
+4x+=+64+
and
+x+%2B+3+%2B+64+%2B+3+=+86+
+x+%2B+70+=+86+
+x+=+16+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Gorge is 4 times as old as Henry in 3 years the sum of their ages will be 86 how old is Henry

In 3 years, their ages sum to 86, so now the ages sum to 86 - 2(3), or 80
Let Henry's age be H
Then Gorge, or is it George, is 4H
We then get: H + 4H = 80
5H = 80
Henry or