Correct Answer - Option 3 : 4
Given:
HCF = 24
Sum of two number = 480
Concept used:
If the number is 24a and 24b, then a and b will be prime number
Calculation:
Let the number be 24a and 24b
24a + 24b = 480
⇒ 24(a + b) = 480
⇒ a + b = 20
Now, the required possible pair of values of a and b which are common numbers to each other are (1, 19), (3, 17), (7, 13), (9, 11)
∴ There will be 4 possible pairs.