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Popular Word Problems >

the larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, finds the two numbers.

Solution

t h e l a r g er o f tw o n u mb ers i s 12 m ore t han t h e s ma ll er n u mb er . I f t h e s u m o f t h e tw o n u mb ers i s 74, f in d s t h e tw o n u mb ers .

Solution

The numbers : 43, 31

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 12 + y

x + y = 74

x = 12 + y, x + y = 74 : x = 43, y = 31

The numbers : 43, 31

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