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Popular Word Problems >

the sum of two numbers is 38. the larger of number is 7 less than twice the smaller number. find the numbers.

Solution

t h e s u m o f tw o n u mb ers i s 38. t h e l a r g er o f n u mb er i s 7 l ess t han tw i ce t h e s ma ll er n u mb er . f in d t h e n u mb ers .

Solution

The numbers : 20 + 331, 18 - 331 or 20 - 331, 18 + 331

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 38

x y = 2 y - 7

x + y = 38, x y = 2 y - 7 : (x = 20 + 331, y = 18 - 331 x = 20 - 331, y = 18 + 331)

The numbers : 20 + 331, 18 - 331 or 20 - 331, 18 + 331

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