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Popular Word Problems >

The larger of two numbers is 16 less than twice the smaller number. The sum of the two numbers is 38 . Find the two numbers. What are the numbers? (Use a comma to separate answers as needed.)

Solution

T h e l a r g er o f tw o n u mb ers i s 16 l ess t han tw i ce t h e s ma ll er n u mb er . T h e s u m o f t h e tw o n u mb ers i s 38 . F in d t h e tw o n u mb ers . Wha t a re t h e n u mb ers ? (U se a co mma t o se p a r a t e an s w ers a s n ee d e d .)

Solution

The numbers : 20, 18

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 y - 16

x + y = 38

x = 2 y - 16, x + y = 38 : x = 20, y = 18

The numbers : 20, 18

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