The sum of the squares of two positive integers is 208. If the square of the
larger number is 18 times the smaller number, find the numbers
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0
Answer:
Let the smaller number be x. Then,
Square of larger number = 18x
Square of the smaller number = x
2
Therefore,
x
2
+18x=208
x
2
+18x−208=0
(x+26)(x−8)=0
x=8,−26
But, the numbers are positive.
So, x=8
Hence, the numbers are 8 and 12.
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