Question
The average of three distinct numbers is 124. The
average of the smallest and the largest of these numbers is also 124, with the smallest number being 24 less than the largest. Determine the values of these three numbers.Solution
Let smallest and largest number are ‘x’ and ‘y’, respectively. So, x + y = 124 × 2 = 248 And, y – x = 24 So, x = (248 – 24)/2 = 112 And, y = 112 + 24 = 136 So, third number = 124 × 3 – 248 = 124
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