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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