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If the ratio of the ages of A and B is 4:5 and A is 20 years old, how old is B?

Practice Questions

Q1
If the ratio of the ages of A and B is 4:5 and A is 20 years old, how old is B?
  1. 25
  2. 30
  3. 35
  4. 40

Questions & Step-by-Step Solutions

If the ratio of the ages of A and B is 4:5 and A is 20 years old, how old is B?
  • Step 1: Understand the ratio of ages. The ratio of A's age to B's age is 4:5.
  • Step 2: Represent A's age as 4x and B's age as 5x, where x is a common multiplier.
  • Step 3: Since we know A's age is 20 years, 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, which gives us x = 5.
  • Step 6: Now, find B's age by substituting x back into the expression for B's age: B's age = 5x.
  • Step 7: Calculate B's age: B's age = 5 * 5 = 25.
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