Question

The sum of two consecutive numbers is 72 find the numbers

Answer 1

Answer:

I think this will help you

Answer 2

The sum of 2 consecutive numbers can only be an odd number and 72 is an even number. So, you either ask about 2 consecutive odd numbers or 2 consecutive even numbers.

2 consecutive odd numbers

$2n+1+2n+3=72\\4n=68\\n=17\\2n+1=35\\2n+3=37$

35 and 37

2 consecutive even numbers

$2n+2n+2=72\\4n=70\\2n=35$

35 is not an even number.

So, it's 35 and 37