Question

Two numbers are in the ratio 7 : 8. If the HCF is 4, find the greater number

• A. 8
• B. 56
• C. 32
• D. 28

Answer 1

Answer:

C. 32

The greater number is 32.

• Understand the ratio:

  • The two numbers can be represented as $7x$ and $8x$, where $x$ is their Highest Common Factor (HCF).

• Use the HCF value:

  • Since the given HCF is 4, $x = 4$.

• Find the numbers:

  • Smaller number = $7 \times 4 = 28$

  • Greater number = $8 \times 4 = 32$