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Popular Word Problems >

the sum of two numbers is 23. twice the greater number added to three times the smaller number is 57. find the numbers.

Solution

t h e s u m o f tw o n u mb ers i s 23. tw i ce t h e g re a t er n u mb er a dd e d t o t h ree t im es t h e s ma ll er n u mb er i s 57. f in d t h e n u mb ers .

Solution

The numbers : 12, 11

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 23

2 x + 3 y = 57

x + y = 23, 2 x + 3 y = 57 : x = 12, y = 11

The numbers : 12, 11

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