WBCS.LIVE practice question

Two numbers are in the ratio 4:5. If their HCF is 16, then the sum of these two numbers is:

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. 144
  2. 124
  3. 160
  4. 150

Correct answer and explanation

Correct answer: 144

Explanation: āœ… Correct Answer: A) 144 šŸ“š Explanation: Let the two numbers be $4k$ and $5k$, where $k$ represents their greatest common divisor. The HCF is given as 16, so we substitute $k = 16$. The numbers are $4 \times 16 = 64$ and $5 \times 16 = 80$. Adding these together ($64 + 80$) results in a total sum of exactly 144.