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The ratio of the ages of G and H is 3:4. If H is 32 years old, how old is G?

Practice Questions

Q1
The ratio of the ages of G and H is 3:4. If H is 32 years old, how old is G?
  1. 24
  2. 30
  3. 28
  4. 20

Questions & Step-by-Step Solutions

The ratio of the ages of G and H is 3:4. If H is 32 years old, how old is G?
  • Step 1: Understand the ratio of the ages of G and H, which is 3:4.
  • Step 2: This means for every 3 parts of G's age, H has 4 parts.
  • Step 3: We know H's age is 32 years.
  • Step 4: To find G's age, we can set up a proportion based on the ratio.
  • Step 5: If H's age (4 parts) is 32 years, then each part is 32 divided by 4.
  • Step 6: Calculate the value of one part: 32 / 4 = 8 years.
  • Step 7: Now, to find G's age (3 parts), multiply the value of one part by 3: 8 * 3 = 24 years.
  • Step 8: Therefore, G is 24 years old.
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