11. If the product of two numbers is 20010 and one
of them is 266, find the other,
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Answer:
Let the larger number be x.
According to the given condition, smaller number would be x−8
Hence,
x(x−8)=153
x
2
−8x=153
x
2
−8x−153=0
x
2
−17x+9x−153=0
x(x−17)+9(x−17)=0
(x+9)(x−17)=0
x=−9 and x=17
Since the numbers are positive.
Hence the larger number is 17.
While the smaller number is 17−8=9.
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