Question
Download Solution PDFTwo numbers are in the ratio 2 ∶ 3. If 7 is subtracted from each number, the new numbers are in the ratio 7 ∶ 11. The smaller number is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two numbers are in the ratio 2 ∶ 3
Concept:
Use the concept of simple ratio.
Calculation:
Let the given number be 2x and 3x.
According to given condition
⇒ (2x - 7)/(3x - 7) = 7/11
⇒ 22x - 77 = 21x - 49
⇒ x = 28
Smaller number = 2x = 2 × 28 = 56
Therefore, the smaller number is 56.
Last updated on Jul 8, 2025
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