Problema Solution

the sum of two numbers is 34. the smaller number is 6 less than the larger number. what are the two numbers?

Answer provided by our tutors

let 'x' and 'y' represent the number and x>y


the sum of two numbers is 34


x + y = 34


the smaller number is 6 less than the larger number


y = x - 6


by solving the system of equations


x + y = 34

y = x - 6


we find


x = 20


y = 14


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the two numbers are 20 and 14.