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Find 2-digit number whose sum is 45 and whose HCF is 3.
9,36
15,30
20,25
21, 24
Show Answer…
Correct Answer: 21, 24

Find 2-digit number whose sum is 45 and whose HCF is 3.

A. 9,36
B. 15,30
C. 20,25
D. 21, 24

To solve this problem, let’s analyze the given conditions:

  1. The sum of the two 2-digit numbers is 45.
  2. Their Highest Common Factor (HCF) is 3.

We need to check each pair to see if they satisfy both conditions.

Let’s evaluate each option:

Option A: 9 and 36

  • Sum: 9+36=45  (Condition satisfied)
  • HCF: The HCF of 9 and 36 is 9 (Condition not satisfied)

Option B: 15 and 30

  • Sum: 15+30=45 (Condition satisfied)
  • HCF: The HCF of 15 and 30 is 15 (Condition not satisfied)

Option C: 20 and 25

  • Sum: 20+25=45 (Condition satisfied)
  • HCF: The HCF of 20 and 25 is 5 (Condition not satisfied)

Option D: 21 and 24

  • Sum: 21+24=45 (Condition satisfied)
  • HCF: The HCF of 21 and 24 is 3 (Condition satisfied)

Therefore, the correct option is:  21 and 24

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