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:

Question: 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:

Solution:
মনেকরি,
ছোট সংখ্যাটি = 3x
বড় সংখ্যাটি = 5x

প্রশ্নমতে,
(3x - 9)/(5x - 9) = 12/23
⇒ 23(3x - 9) = 12(5x - 9)
⇒ 69x - 207 = 60x - 108
⇒ 69x - 60x = 207 - 108
⇒ 9x = 99
⇒ x = 11

অতএব, ছোট সংখ্যাটি = 3 × 11 = 33