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sheetal
Sum of 3 consecutive odd numbers and 3 consecutive even numbers together is 231. Also the smallest odd number is 11 less than smallest even number. What is sum of largest odd and largest even number?
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jiju
Let smallest even number be $x$

Sum of the 3 consecutive even numbers
$=x+(x+2)+(x+4)=(3x+6)$

Smallest odd number $=(x-11)$

Sum of the 3 consecutive odd numbers
$=(x-11)+(x-9)+(x-7)=(3x-27)$

$(3x+6)+(3x-27)=231\\ 6x=252\\ x=42$

Required sum
$=(x-7)+(x+4)=81$
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