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Popular >

The sum of two consecutive integers is-78.Find the largest integer.

Solution

The sum of two consecutive integers is -78.Find the largest integer.

Solution

The number : - 38 \frac{1}{2}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x + x + 1 = - 78

Solve

x + x + 1 = - 78 : x = - \frac{79}{2}

x + 1 = - \frac{79}{2} + 1 = - \frac{77}{2}

Convert improper fractions to mixed numbers:

\frac{77}{2} = 38 \frac{1}{2}

The number : - 38 \frac{1}{2}

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