When x is subtracted from each of the numbers 54, 49, 22, and 21 the numbers so obtained are in proportion. The ratio of (8x - 25) to (7x - 26) is :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 29 : 24
p/q = r/s
(54 - x)/(49 - x) = (22 - x)/(21 - x)
(54 - x)(21 - x) = (49 - x)(22 - x)
1134 - 54x - 21x + x2 = 1078 - 49x - 22x + x2
4x = 56
x = 14
= (8x - 25) : (7x - 26)
= (8 × 14 - 25) : (7 × 14 - 26)
= (112 - 25) : (98 - 26)
= 87 : 72 = 29 : 24