The sum of three numbers is 105 . The first number is 5 less than the second. The third number is 3 times the second. What are the numbers?

Let x be the first number, y be the second number, and z be the number. We have the following equations: x + y + z = 305 x = y - 5 z = 3y Substitute (2) and (3) into (1) (y - 5) + y + (3y) = 305 Combine like terms: 5y - 5 = 305 Use our equation solver y = 62 Substitute y = 62 into (3) z = 3(62) z = 186 x = (62) - 5 x = 57