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Two numbers are in the ratio 3 : 5 and their sum is 96. The larger number is - Mathematics

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Question

Two numbers are in the ratio 3 : 5 and their sum is 96. The larger number is

Options

  • 36

  • 42

  • 60

  • 70

MCQ
Sum

Solution

60
Ratio = 3:5
Let x be any number such that we have:
3x + 5x = 96
 ⇒ 8x = 96

 ⇒ x = `96/8` = 12

The numbers are:
3x = 3 ​× 12 = 36
5x = 5 ​× 12 = 60
The largest number = 60

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Chapter 10: Ratio, Proportion and Unitary Method - Test Paper 10 [Page 161]

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RS Aggarwal Mathematics [English] Class 6
Chapter 10 Ratio, Proportion and Unitary Method
Test Paper 10 | Q 9 | Page 161

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