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Answer :
To represent the statement "the sum of two consecutive integers is 143," let us denote the first integer by [tex]\( x \)[/tex]. The next consecutive integer would then be [tex]\( x + 1 \)[/tex].
The sum of these two consecutive integers is given by:
[tex]\[ x + (x + 1) \][/tex]
According to the problem, this sum is equal to 143. Therefore, we can write the equation as:
[tex]\[ x + (x + 1) = 143 \][/tex]
This equation simplifies to:
[tex]\[ x + x + 1 = 143 \][/tex]
[tex]\[ 2x + 1 = 143 \][/tex]
Thus, the correct equation that represents the statement is:
[tex]\[ x + (x + 1) = 143 \][/tex]
The sum of these two consecutive integers is given by:
[tex]\[ x + (x + 1) \][/tex]
According to the problem, this sum is equal to 143. Therefore, we can write the equation as:
[tex]\[ x + (x + 1) = 143 \][/tex]
This equation simplifies to:
[tex]\[ x + x + 1 = 143 \][/tex]
[tex]\[ 2x + 1 = 143 \][/tex]
Thus, the correct equation that represents the statement is:
[tex]\[ x + (x + 1) = 143 \][/tex]
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