5 positive numbers are written on a piece of paper. Sum of first 3 numbers is 55 and ratio of the 4th and the 5th number is 2:3. If difference between the 4th and the 5th number is 12, then find the average of all the numbers.
Given, 4th number:5th number = 2:3 Let, 4th number = 2x 5th number = 3x So, 3x – 2x = 12 Or, x = 12 Required average = {(55 + 12 × 2 + 12 × 3)/5} = (115/5) = 23
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