Problema Solution

the larger of two numbers is 7 less than three times the smaller number. The sum of the two numbers is 57. Find the two numbers

Answer provided by our tutors

let 'x' and 'y' represent the numbers and x>y, x is the larger number


the larger of two numbers is 7 less than three times the smaller number:


x = 3y - 7


the sum of the two numbers is 57:


x + y = 57


by solving the system of equations:


x = 3y - 7


x + y = 57


we find:


x = 41


y = 16


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the two numbers are 41 and 16.