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sheetal

asked 2016-04-15 13:42:53

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?

jiju

answered 2016-04-18 14:51:13

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

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

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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