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Problem Solving (PS) | Re: If the sum of two numbers is 19 and their product is 88, what is the

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Bunuel wrote:

If the sum of two numbers is 19 and their product is 88, what is the difference between the numbers?

A) 2

B) 3

C) 4

D) 5

E) 6


\(a + b = 19\)
\(ab = 88\)

Or,\(a = 19 - b\)

So, We have :\((19 - b)b = 88\)

Or,\(b^2 - 19b + 88 = 0\)

Or,\(b^2 -11b - 8b + 88 = 0\)

Or,\(b(b - 11) -8(b - 11) = 0\)

So,\(b = 11\) and\(8\)

Thus, difference of the numbers is 3, answer must be (B)
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