The difference of two numbers is $1365$. On dividing the larger number by the smaller, we get $6$ as quotient and $15$ as remainder. What is the smaller number?

$29.8 \%$ of $260 + 60.01 \%$ of $510 - 103.57 = ?$

In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by $2$, and that the product of the given number and the sum of its digits is equal to $144$, then the number is

If the two digits of the age of Mr. Manoj are reversed,then the new age so obtained is the age of his wife. $\frac{1}{11}$ of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is older than his wife,then find the difference between their ages.

If the difference between a number and $\frac{3}{5}$ of the same number is $30$,then find the number.

What least number must be subtracted from $1294$ so that the remainder when divided by $9, 11, 13$ will leave in each case the same remainder $6$?