Question

What two consecutive integers have a sum of 75?

Answer 1

Answer:

37 and 38

Step-by-step 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

Answer:

37 and 38.

Step-by-step 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:

$\frac{2x}{2}=\frac{74}{2}$

$x=37$

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