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1. Two numbers are such that the ratio between them is 4:7 . If each is increased by 4, the ratio becomes 3:5 . The larger number is:

  • A. 36
  • B. 36
  • C. 36
  • D. 36

Answer: Option C

Explanation:

A : B
4x : 7x
Now 4 is added to each number

4x + 47x + 4 = 35⇒20x + 20 = 21x + 12⇒x = 8">4x + 47x + 4=35⇒20x + 20 = 21x + 12⇒x = 8

∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56


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