Problema Solution

The sum of two numbers is 

61.  

If 

three times 

the smaller number is subtracted from the larger number, the result is 

17. Find the two numbers

Answer provided by our tutors

let 'x' and 'y' represent the two numbers and, x>y


the sum of two numbers is 61:


x + y = 61


if three times the smaller number is subtracted from the larger number, the result is 17:


x - 3y = 17


by solving the system of equations:


x + y = 61


x - 3y = 17


we find:


x = 50


y = 11


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the two numbers are 50 and 11.