Question

9. The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.

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O
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n+n+1=37;n=18; n+1=19
n+n+1=37;n=18; n+1-17
n+n+1-37;n=19; n+1-20
n+2n=37;n=12; 2n=24

Answer 1

The sum of two consecutive integers is found by adding them together. The equation n + (n+1) = 37 can be used to find the two consecutive integers that add up to 37. In this case, the integers are 18 and 19.

Step-by-step explanation:

Let's assume the first integer is represented by 'n'. The next consecutive integer would then be 'n+1'. The sum of these two integers is 37, so we can write the equation as: n + (n+1) = 37.

Simplifying this equation, we have: 2n + 1 = 37.

Subtracting 1 from both sides, we get: 2n = 36.

Dividing both sides by 2, we find: n = 18.

Therefore, the two consecutive integers are 18 and 19.

Learn more about Solving equations to find consecutive integers