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Popular Word Problems >

Two consecutive numbers are such that sum of the smaller number and half of the larger number is 35 , find the value of the two numbers.

Solution

Tw o co n sec u t i v e n u mb ers a re s u c h t ha t s u m o f t h e s ma ll er n u mb er an d ha l f o f t h e l a r g er n u mb er i s 35, f in d t h e v a l u e o f t h e tw o n u mb ers .

Solution

The numbers : 69, 70

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

\frac{1}{2} (x + 1) = 35

Solve

\frac{1}{2} (x + 1) = 35 : x = 69

x + 1 = 69 + 1 = 70

The numbers : 69, 70

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