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Popular Word Problems >

Four times the larger of two numbers is equal to seven times the smaller. The sum of the numbers is 22. Find the numbers

Solution

F o u r t im es t h e l a r g er o f tw o n u mb ers i s e q u a l t o se v e n t im es t h e s ma ll er . T h e s u m o f t h e n u mb ers i s 22. F in d t h e n u mb ers

Solution

The numbers : 14, 8

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

4 x = 7 y

x + y = 22

4 x = 7 y, x + y = 22 : x = 14, y = 8

The numbers : 14, 8

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