Problema Solution

the difference of two numbers is 13.Twice the smaller number is 5 more than the other number. What are the two numbers?

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Let x and y represent the numbers and x>y, y is the smaller number


The difference of two numbers is 13:


x - y = 12


Twice the smaller number is 5 more than the other number:


2y = x + 5


We have the following system of equations:


x - y = 12


2y = x + 5

........


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........

x = 29


y = 17


The two numbers are 29 and 17.