$\sqrt[3]{1331} + \sqrt[3]{1728} = ?$

The ratio between two numbers is $3:4$ and their sum is $420$. The greater of the two numbers is

$4767$ exactly divides $xxx\,341$. The missing digits are:

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 $6$?

The quotient arising from a division of a number by $62$ is $463$ and the remainder is $60$. What is the number?

The sum of the digits of a two-digit number is $8$. If the digits are reversed,the number is increased by $54$. Find the number.