Question
Average of 8 numbers is 50. If average of first four and
last two numbers is 60 and 70, 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 – 60 × 3 – 70 × 2 = 20 Or, 5x = 20 Or, x = 4 So, fifth number = 4 × 3 = 12
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