Question

Find 2 consecutive integers whose sum is less than 95. What are the greatest possible values of these integers?

a. 47, 48
b. 48, 49
c. 49, 50
d. 50, 51

Answer 1

To find two consecutive integers whose sum is less than 95, we can set up an equation. The greatest possible values for these integers are 47 and 48.

Step-by-step explanation:

To find two consecutive integers whose sum is less than 95, we can set up an equation. Let x be the first integer, then the next consecutive integer would be x + 1. The sum of these two integers is x + (x + 1), which is equal to 2x + 1. We need to find values of x for which 2x + 1 is less than 95.

2x + 1 < 95
2x < 94
x < 47

So the greatest possible value for x is 46, and the consecutive integers would be 46 and 47. Therefore, the correct answer is a. 47, 48.