The sum of two positive numbers is 240 and their HCF is 15. Find the number of pairs of numbers satisfying the given condition.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 4.
Let the two numbers are 15a and 15b ( where a and b are co-prime numbers)
15a + 15b = 240
a + b = 16.
possible values of a and b will be,
(1, 15)(3, 13)(5, 11)(7,9).
4 such cases are possible.