Question

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.


n + n + 1 = 59; n = 29; n + 1 = 30


n + 2n = 59; n = 19; 2n = 38


n + n + 1 = 59; n = 29; n + 1 = 28


n + n + 1 = 59; n = 30; n + 1 = 31

Answer 1

n and n + 1 represent the two consecutive integers. The equation that models this situation is: n + (n + 1) = 59.

Simplifying the equation, we get: 2n + 1 = 59.

Subtracting 1 from both sides, we get: 2n = 58.

Dividing both sides by 2, we get: n = 29.

Therefore, the two consecutive integers are 29 and 30.