The sum of two positive numbers is 240 and their HCF is 15. Find the number of pairs of numbers satisfying the given condition.
Answer & explanation
Correct answer: option 3
Sum of other factors = \(\frac{Sum\;of\;Positive\;numbers}{HCF}\) = \(\frac{240}{15}\) = 16
Possibilities: -
1, 15
3, 13
5, 11
7, 9
∴ 4 pairs are possible