Question

The sum of two consecutive positive integers is 85. How do you find the integers?

Answer 1

42 and 43

Explanation:

Start by letting one of the integers be n

Then the next integer (+1) will be n+1

The sum of the integers is then

n + n + 1 = 2n + 1 and since the sum of both = 85 , then.

`rArr2n+1=85`

subtract 1 from both sides of the equation

`rArr2n+cancel(1)-cancel(1)=85-1rArr2n=84`

divide by 2 to solve for n.

`rArr(cancel(2)^1 n)/cancel(2)^1=(cancel(84)^(42))/cancel(2)^1`

so n = 42 and n+ 1 = 42 + 1 = 43

Thus the consecutive integers are 42 and 43