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Sunday, November 25, 2018

If the product of two successive positive integers is 7482.

If the product of two successive positive integers is 7482. Which is the greater integer?
A87
B82
C84
D89

Answer : 87

Explanation:

Given that \(x(x+1)=7482\)
\(x^2+x=7482\)
\(x^2+x-7482=0 \)
Solve by quadratic equation 

\((x-87)(x+86)=0\)

\(\therefore x=87 \text{ or } x=-86\)

\(\because \text{ the integers are positive the negative option is disregarded. So the answer is 87.}\)

Nithin K
answered Dec 4 '2016 at 10:14

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