Question

What two consecutive integers have a sum of 75?

Answer 1

37 and 38

Explanation:

Let the two consecutive integers be x and x+1

According to the question,

sum of the two consecutive integers is 75

Therefore,

x +(x+1)= 75

=>2x+1=75

=>2x=75-1

=>2x=74

=>x=74/2

=>x=37

So, the two numbers are 37 and (37+1)

=37 and 38

Answer 2

37 and 38.

Explanation:

Let the smaller integer be x.

Thus, the larger integer is (x+1) since it is consecutive.

`x+(x+1)=75`

`2x+1=75`

Subtract both sides by 1:

`2x+1-1=75-1`

`2x=74`

Divide both sides by 2:

`(2x)/(2)=(74)/(2)`

`x=37`

To find the other number, simply add 1 to 37 to get 38.