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Popular Word Problems >

x and x+2 consecutive integers. 1/4 of the smaller number is 3 less than half the larger number. find the value of x

Solution

x an d x + 2 co n sec u t i v e in t e g ers . \frac{1}{4} o f t h e s ma ll er n u mb er i s 3 l ess t han ha l f t h e l a r g er n u mb er . f in d t h e v a l u e o f x

Solution

The numbers : 10, 11

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

\frac{1}{4} x = \frac{1}{2} (x + 1) - 3

Solve

\frac{1}{4} x = \frac{1}{2} (x + 1) - 3 : x = 10

x + 1 = 10 + 1 = 11

The numbers : 10, 11

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