SOLUTION: Solve the problem by making up an equation. A child is 12 years old, and his father is 32 years older. In how many years will the age of the father be 3 times the age of the child?

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Question 1060988: Solve the problem by making up an equation. A child is 12 years old, and his father is 32 years older. In how many years will the age of the father be 3 times the age of the child?
Found 2 solutions by jorel555, josmiceli:
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number of years until a 44-year old father (12+32) is 3 times older than his 12-year old child. Then:
44+n=3(12+n)
44+n=36+3n
2n=8
n=4
In 4 years, the father will be 48; and the child 16-making the father 3 times older than the child. ☺☺☺☺

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of years from now
when the father will be 3 times the age of the child
---------------------------
In +n+ years, the child will be +12+%2B+n+ years old
In +n+ years, the father will be +12+%2B+n+%2B+32+
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+12+%2B+n+%2B+32+=+3%2A%28+12+%2B+n+%29+
+44+%2B+n+=+36+%2B+3n+
+2n+=+44+-+36+
+2n+=+8+
+n+=+4+
In 4 years the age of the father will
be 3 times the age of the child
---------------------------------
check:
+12+%2B+n+%2B+32+=+3%2A%28+12+%2B+n+%29+
+12+%2B+4+%2B+32+=+3%2A%28+12+%2B+4+%29+
+48+=+3%2A16+
+48+=+48+
OK