Find 2-digit number whose sum is 45 and whose HCF is 3.
9,36
15,30
20,25
21, 24
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:
- The sum of the two 2-digit numbers is 45.
- 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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