## 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

the **Answer is:**

- 16 and 18

**Step-by-step 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