Problema Solution

the difference of two numbers is 17. if four times the smaller is 2 less than the larger what are the two numbers

Answer provided by our tutors

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


the difference of two numbers is 17:


x - y = 17


four times the smaller is 2 less than the larger:


4y = x - 2


by solving the system of equations:


x - y = 17


4y = x - 2


we find:


x = 22


y = 5


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the two numbers are 22 and 5.