Problema Solution

one number is 5 less than a second number. twice the second number is 8 less than 5 times the first. find the two numbers

Answer provided by our tutors

Let


x = the first number


y = the second number


One number is 5 less than a second number:


x = y - 5


Twice the second number is 8 less than 5 times the first:


2y = 5x - 8


We have the following system of equations:


x = y - 5


2y = 5x - 8

........


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........

x = 6


y = 11


The two numbers are 6 and 11.