Arithmetichard · Past Paper

Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:

A33
B27
C49
D55

✓ Correct Answer: A33

(3x-9)/(5x-9) = 12/23 => 69x - 207 = 60x - 108 => 9x = 99 => x = 11. Smaller number = 3 * 11 = 33.

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