Question

2 consecutive integers have a sum of 59. Find the integers.

A) 28, 29
B) 29, 30
C) 30, 31
D) 27, 28

Answer 1

To find the consecutive integers that have a sum of 59, you can use algebraic equations. Let x be the first integer, then x+1 is the next consecutive integer. The equation x + (x+1) = 59 can be solved to find that the integers are 29 and 30.

Step-by-step explanation:

To solve this problem, let's assume that the first integer is x. The next consecutive integer would be x+1. According to the problem, the sum of these two integers is 59. We can set up the equation:
x + (x+1) = 59
Combining like terms, we get:
2x + 1 = 59
Now, subtracting 1 from both sides:
2x = 58
Dividing both sides by 2:
x = 29
Therefore, the two consecutive integers are 29 and 30.