Question
Average of 8 numbers is 50. If average of first four and
last two numbers is 40 and 35, respectively then find the fifth number given that ratio of fifth and sixth number is 3:2, respectively.Solution
Let fifth and sixth numbers be ‘3x’ and ‘2x’, respectively. So, 3x + 2x = 50 × 8 – 40 × 3 – 35 × 2 = 170 Or, 5x = 170 Or, x = 34 So, fifth number = 34 × 3 = 102
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