-------------------------------------------- Define x and y : -------------------------------------------- Let one number be x. Let the other number be y.
-------------------------------------------- Construct equation : -------------------------------------------- x + y = 24 x ÷ y = 3
-------------------------------------------- Solve for x and y : -------------------------------------------- x + y = 24 ------------------- (1) x ÷ y = 3 --------------------- (2)
-------------------------------------------- From equation 1 : -------------------------------------------- x + y = 24 x = 24 - y
-------------------------------------------- Sub x = 24 - y into 2 : -------------------------------------------- x ÷ y = 3 // Equation 2 (24 - y) ÷ y = 3 // Sub x = 24 24 - y = 3y // Multiply by y on both sides 24 = 4y // Add y to both sides 4y = 24 // Switch side, make y the subject y = 6 // Divide by 4 on both sides
-------------------------------------------- Sub y = 6 into equation 1 : -------------------------------------------- x + y = 24 // Equation 1 x + 6 = 24 // sub y = 6 x = 18 // Take away 6 from both sides
-------------------------------------------- Find the two numbers : -------------------------------------------- One number = x = 18 The one number = y = 6
------------------------------------------------------------------ Answer: The two numbers are 18 and 6. ------------------------------------------------------------------
