SOLUTION: Joe is 35 and his son is 5. In how many years will Joe be exactly three times as old as his son?

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Question 1138804: Joe is 35 and his son is 5. In how many years will Joe be exactly three times as old as his son?
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Joe is 35 and his son is 5.
In x years will Joe be exactly three times as old as his son:
35%2Bx=3%285%2Bx%29
35%2Bx=15%2B3x
35-15=3x-x
20=2x
x=10
answer: In 10 years will Joe be exactly three times as old as his son.
check:
now, Joe is 35 and his son is 5
in 10 years, Joe is 45 and his son is 15
and 45=3%2A15 which confirms our solution


Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Without algebra....

The difference in their ages is 30; it will always be 30.

When Joe is 3 times as old as his son, the difference in their ages will be two times the son's age.

The age difference of 30 years will be two times the son's age when the son is 15.

Since the son is now 5, that will be 10 years from now.

ANSWER: Joe will be 3 times as old as his son in 10 years.