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:
Options.
A) 22	B) 11	C) 44	D) 33	E) 55
Let the numbers be 3x and 5x.   Then, 3x - 9/5x - 9 = 12/23   = 23(3x - 9)   = 12(5x - 9)   = 9x = 99   x = 11.   Therefore, The smaller number = (3 x 11) = 33.   Answer is 33.
<result>D</result>
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: