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Popular Word Problems >

The sum of two numbers is 46 and the difference between the larger number and twice the smaller number is 10. Find the two numbers. Enter the smaller number first.

Solution

T h e s u m o f tw o n u mb ers i s 46 an d t h e d i ff ere n ce b e tw ee n t h e l a r g er n u mb er an d tw i ce t h e s ma ll er n u mb er i s 10. F in d t h e tw o n u mb ers . E n t er t h e s ma ll er n u mb er f i rs t .

Solution

The numbers : 34, 12

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 46

x - 2 y = 10

x + y = 46, x - 2 y = 10 : x = 34, y = 12

The numbers : 34, 12

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