Question

A number is subtracted from its square resulting in 2162. the number is ______________ .

Answer 1

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Let the number be 'n'
=>From the given information n^2 - n=2162
=>n(n-1) = 2162=2300-138=23(100-6)=23x2x47
=>n(n-1) = 47x46
comparing both sides, n = 47