The product of two consecutive even numbers is 582168. Which is the smaller number?
The product of two consecutive even numbers is 582168. Which is the smaller number?
(a) 760 (b) 762
(c) 764 (d) 766
(e) 756
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(b) Let the numbers be x and (x + 2)
Then, x × (x + 2) = 582168
x 2 + 2x – 582168 = 0
x2 + 764x – 762x – 582168 = 0
(x + 764) (x – 762) = 0
x = 762
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