High School

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What equation represents the statement "the sum of two consecutive integers is 143"?

A. [tex]x + 1 = 143[/tex]

B. [tex]x + 143 = y[/tex]

C. [tex]x + (x + 1) = 143[/tex]

D. [tex]x = 143[/tex]

Answer :

To find the equation that represents the statement "the sum of two consecutive integers is 143":

1. Define the Variables:
- Let [tex]\( x \)[/tex] represent the first integer.
- Since these are consecutive integers, the second integer will be [tex]\( x + 1 \)[/tex].

2. Express the Sum:
- The sum of the two integers is given as 143.

3. Form the Equation:
- The equation based on the above information can be written as:
[tex]\[
x + (x + 1) = 143
\][/tex]

Therefore, the equation that represents the statement "the sum of two consecutive integers is 143" is:
[tex]\[ x + (x + 1) = 143 \][/tex]

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