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

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

Options:

  1. 30
  2. 32
  3. 40
  4. 42

Correct Answer: 32

Solution: 

Let O\'s age be 5x and P\'s age be 3x. Then 5x + 3x = 64. Solving gives x = 8, hence O = 40.

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

Practice Questions

Q1
The ages of O and P are in the ratio 5:3. If the sum of their ages is 64 years, what is O's age?
  1. 30
  2. 32
  3. 40
  4. 42

Questions & Step-by-Step Solutions

The ages of O and P are in the ratio 5:3. If the sum of their ages is 64 years, what is O's age?
  • Ratios – Understanding and applying ratios to represent relationships between quantities.
  • Algebraic Equations – Setting up and solving equations based on given relationships and conditions.
  • Word Problems – Translating a real-world scenario into a mathematical equation.
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