Question

sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also the smallest odd numbers is 11 less than the smallest even number.What is the sum of the largest odd number and the largest even numbers.

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Answer 1

Solution:-

Let the Smallest odd Number be "x".

Hence,

The Three Consecutive Odd Number = x , (x+2) & (x+4).

A.T.Q.

The Smallest Even Number = ( x+11).

Hence,

The Three Consecutive Even Number = (x+11), (x+13) & (x+15).

A.T.Q.

Sum Of Three Consecutive Odd & Even = 231.

=> x + x + 2 + x + 4 + x + 11 + x + 13 + x + 15 = 231

=> 6x + 45 = 231

=> 6x = 231 - 45 = 186.

=> x = 186/6

=> x = 31.

Now,

Sum of Largest Odd & Even Number:-

=> x + 4 + x + 15

=> 2* 31 + 19

=> 62 + 19

=> 81.

Hence,

The Sum of Largest Odd and Even Number is 81.