Multiple choice

The average of the four numbers is 140. The fourth number is 26 more than the first number and the third number is 18 more than the second number. If the second number is 18 more than the first number, what is the difference between the third and the fourth number?

  1. 10

  2. 12

  3. 14

  4. 16

  5. None of these

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A Correct answer
Explanation

Let the first number be a. Then second = a + 18, third = a + 36, fourth = a + 26. Average = 140, so sum = 560. Solving: a + (a+18) + (a+36) + (a+26) = 560 gives a = 120. Third = 156, fourth = 146. Difference = 156 - 146 = 10.