SOLUTION: three sisters ages total 62 years. the first sister is 5 years older than the second, and the second is 1/4 of the age of the third. find the age of the three sisters

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Question 1011255: three sisters ages total 62 years. the first sister is 5 years older than the second, and the second is 1/4 of the age of the third. find the age of the three sisters
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the present ages of the sisters be
+a+, +b+, and +c+
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(1) +a+%2B+b+%2B+c+=+62+
(2) +a+=+b+%2B+5+
(3) +b+=+%281%2F4%29%2Ac+
----------------------
There are 3 unknowns and 3 equations
so this is solvable
--------------------
(3) +c+=+4b+
Substitute (2) and (3) into (1)
(1) +b+%2B+5+%2B+b+%2B+4b+=+62+
(1) +6b+%2B+5+=+62+
(1) +6b+=+57+
(1) +b+=+9.5++
and
(3) +c+=+4b+
(3) +c+=+4%2A9.5+
(3) +c+=+38+
and
(2) +a+=+b+%2B+5+
(2) +a+=9.5+%2B+5+
(2) +a+=+14.5+
Their ages are: 9.5, 14.5, and 38
check:
(1) +a+%2B+b+%2B+c+=+62+
(1) +14.5+%2B+9.5+%2B+38+=+62+
(1) +62+=+62+
OK