The sum of three consecutive odd numbers is 11
more than the sum of even numbers between them,
then find the last odd number
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Step-by-step explanation:
LET FIRST ODD NO. BE x
second odd no. is x+2
third odd no. is x+4
first even no. is x+1
second even no. is x+3
third even no. is x+5
∴x+x+2+x+4=x+1+x+3+x+5+11
∴3x+6=3x+20
∴3x-3x=20-6
∴0x=14
∴x=0
∴it is not possible that sum of three consecutive odd numbers is 11 more than sum of even numbers ,it can oly be more than
let 3 odd numbers be 9,11,13 and even numbers be 8,10,12
9+11+13=33 and 8+10+12=30
∴ we can conclude that sum of 3 odd no. can only be 3 more than 3 even no.
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