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
Correct Answer: Option B
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
∴ ছোট সংখ্যাটি = 3 × 11 = 33
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
∴ ছোট সংখ্যাটি = 3 × 11 = 33
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