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The difference between two numbers is 12. Four times the larger number decreased by 25 equals 48 increased by 3 times the smaller number. Find the numbers.

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The difference between two numbers is 12.  Three times the larger number is seven times the smaller.  What are the two numbers? 

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JEEW-M  | CERTIFIED EDUCATOR

Let us say the two numbers are x and y and x>y.

The data we have are;

Difference between the numbers are 12.

3 times larger number is equal to 7 times smaller number.

Then we can write;

 ----(1)

 ----(2)

 

From (1) we can say 

Then substituting  to (2) gives;





      

        

 

Then;





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