Question

Two numbers differ by 5 and have a product of 8. What are the two numbers?

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Answer 1

Answer:

Let the larger number be x.

According to the given condition, smaller number would be x−8

Hence,

x(x−8)=153

x2−8x=153

x2−8x−153=0

x2−17x+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.

Answer 2

Answer:

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