Average of 8 numbers is 70. If average of first four and last two numbers is 80 and 45, respectively then find the fifth number given that ratio of fifth and sixth number is 4:1, respectively.
Let fifth and sixth numbers be ‘4x’ and ‘x’, respectively. So, 4x + x = 70 × 8 – 80 × 4 – 45 × 2 = 150 Or, 5x = 150 Or, x = 30 So, fifth number = 30 × 4 = 120
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