Problema Solution

One number is 3 less than a second number. Twice the second number is 6 less than 3 times the first. Find the two numbers

Answer provided by our tutors

let 'x' and 'y' represent the numbers


One number is 3 less than a second number:


x = y - 3


Twice the second number is 6 less than 3 times the first:


2y = 3x - 6


by solving the system of equations:


x = y - 3


2y = 3x - 6


we find:


x = 12


y = 15


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the two numbers are 12 and 15.