Question

Two number 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:
A.27
B.33
C.49
D.55

Answer 1

according to the question
$(3x - 9) \div 5x - 9 = 12 \div 23$
$69x - 60x = 9(23 - 12) \\ x = 9$