If x is subtracted from each of 24,40,33 and 57, the number ,so obtained are in proportion . The ratio of (5x + 12) to (4x + 15) is :
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 14 : 13
According to the question,
(24 - x) : (40 - x) :: (33 - x)(57 - x)
Product of extremes = Product of means
(24 - x)(57 - x) = (40 - x)(33 - x).
1368 - 24x - 57x - x2 = 1320 - 40x - 33x + x2
48 = 8x
x = 6.
Required ratio = 5x + 12 : 4x + 15
42 : 39 = 14 : 13.