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1. Two number are in the ratio 3:5 . If 9 is subtracted form each , the new numbers are in the ratio 1223. The smaller number is
- A. 27
- B. 27
- C. 27
- D. 27
Answer: Option B
Explanation:
Let the two numbers be 3x and 5x respectively.
According to the given problem,
(3x - 9)/(5x - 9) = 12/23
= > 23 × (3x - 9) = (5x - 9) × 12
= > 69x - 207 = 60x - 108
= >9x = 207 - 108
= >x = 99/9 = 11
Therefore, the two numbers are (3 × 11) = 33 and (5 × 11) = 55.
The smaller number is 33.
According to the given problem,
(3x - 9)/(5x - 9) = 12/23
= > 23 × (3x - 9) = (5x - 9) × 12
= > 69x - 207 = 60x - 108
= >9x = 207 - 108
= >x = 99/9 = 11
Therefore, the two numbers are (3 × 11) = 33 and (5 × 11) = 55.
The smaller number is 33.
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