Question
The coefficient of 'x 2 ' and 'x' in the
expression (Ax + 5) (3 - 2x) are same, where 'A' is a positive integer. (A + 10) is how much percent of (A + 58) ?Solution
(Ax + 5) (3 - 2x) = 3Ax - 2Ax 2 Â - 10x + 15 = - 2Ax 2 Â + (3A - 10) x + 15
ATQ, - 2A = 3A - 10
Or, 5A = 10
So, 'A' = 2
Required percent = {(2 + 10) Ă· (2 + 58) } x 100 = (12/60) X 100 = 20%
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