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Popular Word Problems >

The greater of two numbers is 15 more than the lesser number. Five times the greater number is 40 more than twelve times the lesser number. Find the numbers.

Solution

T h e g re a t er o f tw o n u mb ers i s 15 m ore t han t h e l esser n u mb er . F i v e t im es t h e g re a t er n u mb er i s 40 m ore t han tw e l v e t im es t h e l esser n u mb er . F in d t h e n u mb ers .

Solution

The numbers : 20, 5

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 15 + y

5 x = 40 + 12 y

x = 15 + y, 5 x = 40 + 12 y : x = 20, y = 5

The numbers : 20, 5

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