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:
Answer & explanation
Correct answer: option 3
The proportion is
54 - x : 49 - x :: 22 - x : 21 - x
Then, Product of the middle terms = product of extremes
(49 - x)(22 - x) = (54 - x)(21 - x)
1078 - 49x - 22x + x² = 1134 - 54x -21x + x²
Solving, x = 14
(8x - 25) : (7x - 26) = (8 x 14 - 25) : (7 x 14 - 26)
(112 - 25) :(98 - 26)
87 : 72 = 29 : 24