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

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.

answerim :

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im not sure but my dad knows

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