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Question:

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:

Explanation:

According to the problem,

(54 − x) (21 − x) = (49 − x) (22 − x)

1134 − 75x + x² = 1078 − 71x + x²

4x = 56

x = 14

(8x − 25) : (7x − 26) = 8(14) − 25 : 7(14) − 26

= 87 : 72

= 29 : 24

Hence, the correct answer is Option C