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Popular Word Problems >

Given two numbers the larger number is twice the smaller number. Ten times the smaller number decreased by three times the larger number is equal to 36. What are the two numbers?

Solution

G i v e n tw o n u mb ers t h e l a r g er n u mb er i s tw i ce t h e s ma ll er n u mb er . T e n t im es t h e s ma ll er n u mb er d ecre a se d b y t h ree t im es t h e l a r g er n u mb er i s e q u a l t o 36. Wha t a re t h e tw o n u mb ers ?

Solution

The numbers : 18, 9

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 2 y

10 y - 3 x = 36

x = 2 y, 10 y - 3 x = 36 : x = 18, y = 9

The numbers : 18, 9

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