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. 30

C. 33

D. 36

View Answer

1

Correct Answer :
33

Explanation :

Let the numbers be 3z and 5z

Then, (3z-9) / (5z-9) = 12 / 23

=> 23 (3z-9) = 12 (5z-9)

=> z = 11

=> The smaller number = (3 x 11) = 33

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