The product of two consecutive even numbers is 582168. Which is the smaller number? (a) 760 (b) 762 (c) 764 (d) 766 (e) 756
(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