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The ages of M and N are in the ratio 5:3. If the sum of their ages is 64 years,

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Question: The ages of M and N are in the ratio 5:3. If the sum of their ages is 64 years, what is M\'s age?

Options:

  1. 30
  2. 32
  3. 34
  4. 36

Correct Answer: 32

Solution: 

Let M\'s age be 5x and N\'s age be 3x. Then 5x + 3x = 64. Solving gives x = 8, thus M = 40.

The ages of M and N are in the ratio 5:3. If the sum of their ages is 64 years,

Practice Questions

Q1
The ages of M and N are in the ratio 5:3. If the sum of their ages is 64 years, what is M's age?
  1. 30
  2. 32
  3. 34
  4. 36

Questions & Step-by-Step Solutions

The ages of M and N are in the ratio 5:3. If the sum of their ages is 64 years, what is M's age?
  • Ratio and Proportion – Understanding how to express relationships between quantities using ratios and how to solve for unknowns using algebra.
  • Algebraic Equations – Setting up and solving linear equations based on given conditions.
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