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Popular Word Problems >

the sum of two numbers is 12. one of the numbers is 20 more than the other number. let x and y be the two numbers with y being the larger of the two numbers. write and solve a system using substitution

Solution

t h e s u m o f tw o n u mb ers i s 12. o n e o f t h e n u mb ers i s 20 m ore t han t h e o t h er n u mb er . l e t x an d y b e t h e tw o n u mb ers w i t h y b e in g t h e l a r g er o f t h e tw o n u mb ers . w r i t e an d so l v e a sys t e m u s in g s u b s t i t u t i o n

Solution

The numbers : 16, - 4

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 12

x = 20 + y

x + y = 12, x = 20 + y : x = 16, y = - 4

The numbers : 16, - 4

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