Crazy 24

Number Theory Level 3

Let $m$ and $n$ be integers. If $m(n) + 1$ is divisible by 24 Then $m+n$ is:

Note: $m(n)$ is $m$ multiplied by $n$ .

Divisible only if m(n) is prime Divisible by 24 Not divisible by 24 Can't Say

1 solution

Mr Yovan
Mar 9, 2016

(M.N+1)÷24=x and rest=0 Implies that either m=24y-1 And n=24k+1 Or the oposite Anyway 24k+1+24y-1=24(x+y )