Problema Solution

the difference between two numbers is 2. if three times the larger number minus double the smaller number is 13, find the two numbers.

Answer provided by our tutors

Let x and y represent the numbers, x>y


the difference between two numbers is 2:


x - y = 2


If three times the larger number minus double the smaller number is 13:


3x - 2y = 13


We have the following system of equations:


x - y = 2


3x - 2y = 13

........


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........

x = 9


y = 7


The two numbers are 9 and 7.