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If the age of a grandfather is 70 years and the age of his grandson is 10 years,

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Question: If the age of a grandfather is 70 years and the age of his grandson is 10 years, what is the ratio of their ages?

Options:

  1. 7:1
  2. 6:1
  3. 5:1
  4. 4:1

Correct Answer: 7:1

Solution: 

The ratio of their ages is 70:10, which simplifies to 7:1.

If the age of a grandfather is 70 years and the age of his grandson is 10 years,

Practice Questions

Q1
If the age of a grandfather is 70 years and the age of his grandson is 10 years, what is the ratio of their ages?
  1. 7:1
  2. 6:1
  3. 5:1
  4. 4:1

Questions & Step-by-Step Solutions

If the age of a grandfather is 70 years and the age of his grandson is 10 years, what is the ratio of their ages?
  • Step 1: Identify the age of the grandfather, which is 70 years.
  • Step 2: Identify the age of the grandson, which is 10 years.
  • Step 3: Write the ages in ratio form: 70 (grandfather) to 10 (grandson), which is 70:10.
  • Step 4: Simplify the ratio 70:10 by dividing both numbers by their greatest common divisor, which is 10.
  • Step 5: Divide 70 by 10 to get 7, and divide 10 by 10 to get 1.
  • Step 6: Write the simplified ratio, which is 7:1.
  • Ratio – Understanding how to express the relationship between two quantities.
  • Simplification – The process of reducing a ratio to its simplest form.
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