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Answer:
average of the smallest 5 odd numbers in the given set = 7
Step-by-step explanation:
let the 10 consecutive odd numbers be
2n-9,2n-7,2n-5,2n-3,2n-1,2n+1,2n+3,2n+5,2n+7,2n+9
given than average = 120
=> (2n-9+2n-7+2n-5+2n-3+2n-1+2n+1+2n+3+2n+5+2n+7+2n+9)/10 = 120
=> 10*2n = 120
=> n = 120/20
=> n = 6
=> the smallest 5 numbers among the given odd numbers will be 2(6)-9,2(6)-7,2(6)-5,2(6)-3,2(6)-1
=> the smallest 5 numbers among the given odd numbers will be 12-9,12-7,12-5,12-3,12-1
=> the smallest 5 numbers among the given odd numbers will be 3,5,7,9,11
=> average of the smallest 5 odd numbers in the given set = (3+5+7+9+11)/5
=> average = 35/5 = 7
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