Home
Class 10
MATHS
The sum of a two digit number and the nu...

The sum of a two digit number and the number obtained by reversing the order of its digits is 1. Find the number.

Text Solution

AI Generated Solution

To solve the problem, we need to find a two-digit number such that the sum of the number and the number obtained by reversing its digits equals 121. Additionally, the digits of the number differ by 3. Let's denote: - The digit in the tens place as \( y \) - The digit in the units place as \( x \) Thus, the two-digit number can be expressed as: \[ 10y + x \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|306 Videos
  • POLYNOMIAL

    RD SHARMA|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

The sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and ten's digit of the number are x and y respectively,then write the linear equation representing the above statement.

The sum of a two digit number and the number obtained by reversing the order of its digits is 165. If the digits differ by 3, find the number.

Knowledge Check

  • The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there?

    A
    5
    B
    6
    C
    7
    D
    8
  • Similar Questions

    Explore conceptually related problems

    The sum of a two-digit number and the number obtained by reversing the order of its digits is 165. If the digits differ by 3, find the number.

    The sum of a two digit number and the number obtained by reversing the order of its digits is 99. If the digits differ by 3, find the number.

    The sum of a two - digt number and the number obtained by reversing its digits in 121 . Find the number, if the its units place digit is greater than the tens place digit by 7 .

    The sum of a twodigit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number.How many such numbers are there?

    The sum of a two-digit number and the number formed by reversing the order of digits is 66. If the two digits differ by 2, find the number.How many such numbers are there?

    The sum of digits of a two digit number is 15. The number obtained by reversing the order of digits of the given number exceeds the given number by 9. Find the given number.

    The sum of the digits of a two-digit number is 9.Also,nine xx this number is twice the number obtained by reversing the order of the digits.Find the number.