Question

The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to the sum of the other two.

Answer 1

• x = 5, y = 7, z = 12

Explanation:

Let the numbers be x, y and z

• x + y + z = 24
• 2y = z + 2
• z = x + y

Solving by substitution:

• x + y + z = z + z = 24
• 2z = 24
• z = 12

• 2y = z + 2
• 2y = 12 + 2
• 2y = 14
• y = 7

• z = x + y
• x = z - y
• x = 12 - 7 = 5

The answer:

• x = 5, y = 7, z = 12