Problema Solution

the sum of the two number is 66. If three times the smaller number is subtracted from the larger number, the result is 6. Find the two numbers

Answer provided by our tutors

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


the sum of the two number is 66:


x + y = 66


three times the smaller number is subtracted from the larger number, the result is 6:


x - 3y = 6


by solving the system of equations:


x + y = 66


x - 3y = 6


we find:


x = 51


y = 15


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the two numbers are 51 and 15.