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

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

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