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The ratio of the ages of A and B is 4:5. If A is 20 years old, what is B's age?

Practice Questions

Q1
The ratio of the ages of A and B is 4:5. If A is 20 years old, what is B's age? (2019)
  1. 25
  2. 30
  3. 35
  4. 40

Questions & Step-by-Step Solutions

The ratio of the ages of A and B is 4:5. If A is 20 years old, what is B's age? (2019)
  • Step 1: Understand the ratio of ages. The ratio of A's age to B's age is 4:5.
  • Step 2: Let A's age be represented as 4x and B's age as 5x, where x is a common factor.
  • Step 3: We know A's age is 20 years. So, we can set up the equation: 4x = 20.
  • Step 4: Solve for x by dividing both sides of the equation by 4: x = 20 / 4.
  • Step 5: Calculate x: x = 5.
  • Step 6: Now, find B's age using the value of x. B's age is 5x, so B's age = 5 * 5.
  • Step 7: Calculate B's age: B's age = 25 years.
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