SOLUTION: John's father is 26 years younger than John's grandfather and 29 years older than John. The sum of all the three is 135 years . What is the age of each one of them ?

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Question 1040471: John's father is 26 years younger than John's grandfather and 29 years older than John. The sum of all the three is 135 years . What is the age of each one of them ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = John's age now
Let +b+ = John's father's age now
Let +c+ = John's grandfather's age now
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(1) +b+=+c+-+26+
(2) +b+=+a+%2B+29+
(3) +a+%2B+b+%2B+c+=+135+
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There are 3 equations and 3 unknowns, so it's solvable
(1) +c+=+b+%2B+26+
(2) +a+=+b+-+29+
Substitute (1) and (2) into (3)
(3) +b+-+29+%2B+b+%2B+b+%2B+26+=+135+
(3) +3b+=+135+%2B+29+-+26+
(3) +3b+=+138+
(3) +b+=+46+
and
(2) +a+=+b+-+29+
(2) +a+=+46+-+29+
(2) +a+=+17+
and
(1) +c+=+b+%2B+26+
(1) +c+=+46+%2B+26+
(1) +c+=+72+
---------------------
John's age is 17
John's father's age is 46
John's grandfather's age is 72
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check:
(3) +a+%2B+b+%2B+c+=+135+
(3) +17+%2B+46+%2B+72+=+135+
(3) +135+=+135+
OK