SOLUTION: Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total of their ages is 87, how old is the youngest of them?

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Question 1150490: Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total of their ages is 87, how old is the youngest of them?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = Colin's age now
+x+%2B+12+ = Paul's age now
+x+-+3+ = Caroline's age now
---------------------------------------
+x+%2B+%28+x+%2B+12+%29+%2B+%28+x+-+3+%29+=+87+
+3x+%2B+9+=+87+
+3x+=+78+
+x+=+26+
and
+x+%2B+12+=+38+
and
+x+-+3+=+23+
--------------------
The youngest is Caroline
who is 23
------------------------------
check:
+26+%2B+38+%2B+23+=+87+
+87+=+87+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total of their ages is 87, how old is the youngest of them?
After reading you should realize that Caroline is the youngest. Therefore, we need to find Caroline's age, and NO-ONE else's.

Let Caroline’s age be C
Then Colin’s is: C + 3, and Paul’s is: C + 3 + 12 = C + 15
We then get: C + C + 3 + C + 15 = 87
3C = 69
C, or Caroline is: highlight_green%28matrix%281%2C4%2C+69%2F3%2C+%22=%22%2C+23%2C+years-old%29%29
That's IT!!