Question The sum of two numbers is eighteen. The total of three times the smaller and twice the larger is forty-four. Find the two numbers.

Answer: The numbers are 8 and 10. Step-by-step explanation: Let the numbers be x and y. The sum of two numbers is eighteen: x + y = 18 The total of three times the smaller and twice the larger is forty-four: 3x + 2y = 44 Solve the system by substitution: x = 18 – y Substitute x and solve for y: 3(18 – y) + 2y = 44 54- 3y + 2y = 44 54 – y = 44 y = 54 – 44 y = 10 Find x: x = 18 – 10 x = 8 Reply

Answer:8and10.Step-by-step explanation:xandy.Solvethe systemby substitution:Substitutex andsolve for y:y = 10x = 8