Question:The highest score in an ining was `3/11` of the total and the next highest was `3/11`       of the remainder . If the scores differed by `9`,find the total score. 

Let, total scores be x ,The highest scores .`(3x)/(11)`.

Remainder `= (x - (3x)/(11))`

`= (8x)/(11)`.

Next highest 

`= 3/11` of `(8x)/(11)`

`= (24x)/(121)`.

`:. (3x)/(11) - (24x)/(121) = 9`

or `33x - 24x`

`= 9 xx 121`.

or `9x = 9 xx 121`

or x `= 121`

Hence total score`= 121`.