In a division sum, the divisor is $10$ times the quotient and $5$ times the remainder. What is the dividend, if the remainder is $46$?

There are two numbers such that the sum of twice the first number and thrice the second number is $100$ and the sum of thrice the first number and twice the second number is $120$. Which is the larger number?

The last digit,that is,the digit in the unit's place of the number $[(57)^{25}-1]$ is

Find the least number which must be subtracted from $9269$ so that the resulting number is exactly divisible by $73$.

If a number is multiplied by $\frac{3}{5}$ of itself,the value so obtained is $3^{2}$ less than $12^{2}$. What is $\frac{5}{3}$ of that number?

The ten's digit of a two-digit number is greater than the unit's digit by $7$. If we subtract $63$ from the number,the new number obtained is formed by interchanging the digits. Find the number.