SOLUTION: Jerry is 6 years older than his friend George. Their other friend Kramer is 9 years younger then George. The sum of all their ages is 93 years. How old are the 3 friends?

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Question 1059670: Jerry is 6 years older than his friend George. Their other friend Kramer is 9 years younger then George. The sum of all their ages is 93 years. How old are the 3 friends?

Found 3 solutions by josmiceli, rfer, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Jerry's age now
Let +b+ = George's age now
Let +c+ = Kramer's age now
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(1) +a+=+b+%2B+6+
(2) +c+=+b+-+9+
(3) +a+%2B+b+%2B+c+=+93+
-------------------------------
Substitute (1) and (2) into (3)
(3) +b+%2B+6+%2B+b+%2B+b+-+9+=+93+
(3) +3b+=+93+-+6+%2B+9+
(3) +3b+=+96+
(3) +b+=+32+
and
(1) +a+=+32+%2B+6+
(1) +a+=+38+
and
(2) +c+=+32+-+9+
(2) +c+=+23+
------------------------
Jerry is 38
George is 32
Kramer is 23
----------------
check:
(3) +a+%2B+b+%2B+c+=+93+
(3) +38+%2B+32+%2B+23+=+93+
(3) +93+=+93+
OK

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
Jerry = x+6
George= x
Kramer= x-9
x+6+x+x-9=93
3x-3=93
3x=93+3
x=96/3
x=32
x+6=38
x-9=23

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jerry is 6 years older than his friend George. Their other friend Kramer is 9 years younger then George. The sum of all their ages is 93 years. How old are the 3 friends?
--------------------
J = G + 6
K = G - 9
J + G + K = 93
-----------------------
G+6 + G + G-9 = 93
3G - 3 = 93
3G = 96
G = 32 yrs
------
J = G + 6 = 38 yrs
K = G - 9 = 23 yrs
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Cheers,
Stan H.
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