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The sum of 3 consecutive even numbers is 403.What is the largest of the numbers?

Solution

The sum of 3 consecutive even numbers is 403.What is the largest of the numbers?

Solution

The largest number : 136 \frac{1}{3}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 403

Solve

x + x + 2 + x + 4 = 403 : x = \frac{397}{3}

x + 2 = \frac{397}{3} + 2 = \frac{403}{3}

x + 4 = \frac{397}{3} + 4 = \frac{409}{3}

Convert improper fractions to mixed numbers:

\frac{397}{3} = 132 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{403}{3} = 134 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{409}{3} = 136 \frac{1}{3}

Select the largest solution:

136 \frac{1}{3}

The largest number : 136 \frac{1}{3}

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