Question

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

Answer 1

Answer: The two consecutive integers are 29 and 30

==================================================

Work Shown:

x = first integer

x+1 = second integer that follows immediately after x

Consecutive integers are numbers like {4,5,6,7,...} ones that follow right after another.

Add up those expressions and set the sum equal to 59. Then solve for x

x+(x+1) = 59

2x+1 = 59

2x = 59-1

2x = 58

x = 58/2

x = 29

So 29 is the first number

x+1 = 29+1 = 30

and 30 is the next number

As a check, 29+30 = 59 which confirms our answer.