Question

If A = 15n + 19n, B = 3n + 9n, where n is a natural number then HCF of A and B is: ​

Answer 1

Step-by-step explanation:

Out of n and n+2, one is divisible by 2 and the other by 4, hence n(n+2) is divisible by 8.

Also n,n+1,n+2 are three consecutive numbers, hence one of them is divisible by 3.

Hence, n(n+1)(n+2) must be divisible by 24. This will be true for any even number n