Question

The sum of two numbers is 34. Half of the first number plus one third of the second number is 14. What are the two numbers?

Answer 1

• 16 and 18

Explanation:

Let the numbers be x and y. Then we got following equations:

• x + y = 34
• 1/2x + 1/3y = 14

Double the second equation and subtract from the first one. Solve for y:

• x + y - x - 2/3y = 34 - 2*14
• 1/3y = 6
• y = 3*6
• y = 18

Find x:

• x = 34 - 18 = 16