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Popular Word Problems >

the larger of two numbers is one more than four times the smaller number. if the sum of the numbers is 106, find the numbers

Solution

t h e l a r g er o f tw o n u mb ers i s o n e m ore t han f o u r t im es t h e s ma ll er n u mb er . i f t h e s u m o f t h e n u mb ers i s 106, f in d t h e n u mb ers

Solution

The numbers : 85, 21

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 1 + 4 y

x + y = 106

x = 1 + 4 y, x + y = 106 : x = 85, y = 21

The numbers : 85, 21

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