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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.

[tex]x+(x+1)=75[/tex]

[tex]2x+1=75[/tex]

Subtract both sides by 1:

[tex]2x+1-1=75-1[/tex]

[tex]2x=74[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{74}{2}[/tex]

[tex]x=37[/tex]

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

ANNYY18

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

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