Eleven years earlier the average age of a family of $4$ members was $28 \,years.$ Now the age of the same family with six members js yet the same, even when $2$ children were born in this period. If they belong to the same parents and the age of the first child at the time of the birth of the younger child was same as there were total family members just after the birth of the youngest member of this family, then the present age of the youngest member of the family is in $year$?

In the first $10$ overs of a cricket game, the run rate was only $3.2 .$ What should be the run rate in the remaining $40$ overs to reach the target of $282$ runs ?

The average income of $A$ for $15$ days is $Rs.\,70.$ The average for first five days is $Rs.\, 60$ and that for the last nine days is $Rs.\,80.$ A's income for the sixth day is (in $Rs.\,$ )

Ten years ago the average age of $P$ and $Q$ was $20\, years.$ Average age of $P, Q$ and $R$ is $30\, years$ now. After $10 \,years,$ the age of $R$ will be (in $years$)

The mean of $100$ items was $46 .$ Later on, it was discovered that an item $16$ was misread as $61$ and another item $43$ was misread as $34.$ It was also found that the number of items was $90$ and not $100 .$ Then, what is the correct mean?

The average of $50$ numbers is $38 .$ If two numbers, namely $45$ and $55$ are discarded, the average of the remaining numbers is