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Popular Word Problems >

The difference between two numbers is 31. The smaller number is 38 less than twice the larger number. Find the two numbers.

Solution

T h e d i ff ere n ce b e tw ee n tw o n u mb ers i s 31. T h e s ma ll er n u mb er i s 38 l ess t han tw i ce t h e l a r g er n u mb er . F in d t h e tw o n u mb ers .

Solution

The numbers : 100, 69

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 31

x = 2 y - 38

x - y = 31, x = 2 y - 38 : x = 100, y = 69

The numbers : 100, 69

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