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Popular Word Problems >

The sum of the least and greatest of 3 consecutive integers is 98. What is the lowest integer?

Solution

T h e s u m o f t h e l e a s t an d g re a t es t o f 3 co n sec u t i v e in t e g ers i s 98. Wha t i s t h e l o w es t in t e g er ?

Solution

The number : 49 \frac{1}{2}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + x + 1 = 98

Solve

x + x + 1 = 98 : x = \frac{97}{2}

x + 2 = \frac{97}{2} + 2 = \frac{101}{2}

x + 1 = \frac{97}{2} + 1 = \frac{99}{2}

Convert improper fractions to mixed numbers:

\frac{99}{2} = 49 \frac{1}{2}

The number : 49 \frac{1}{2}

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