Average of 8 numbers is 25. If average of first four and last two numbers is 15 and 40, respectively then find the fifth number given that ratio of fifth and sixth number is 7:5, respectively.
Let fifth and sixth numbers be ‘7x’ and ‘5x’, respectively. So, 7x + 5x = 25 × 8 – 15 × 7 – 40 × 5 = 60 Or, 12x = 60 Or, x = 5 So, fifth number = 5 × 7 = 35
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