Problema Solution

The sum of two numbers is 100. One number decreased by twice the second number is 28. Find the two numbers.

Answer provided by our tutors

let 'x' and 'y' represent the numbers


The sum of two numbers is 100:


x + y = 100


One number decreased by twice the second number is 28:


x + 2y = 28


by solving the system of equations:


x + y = 100


x + 2y = 28


we find:


x = 172


y = -72


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the two numbers are 172 and -72.