math ALGEBRA

When the digits of two-digits numbers are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number.

Can some one please help me here?

The tens digit is T, the units digit is U.

The number is TU, its value is 10T +U

Reverse it, subtract the origial number

10U + T - 10T -U =9

T+ U=11

Those are the guiding equations. Simplify the first, and solve.

  1. 👍 0
  2. 👎 0
  3. 👁 75
  1. T=5 u=6 5 + 6=11
    65_56=9
    Answer =56

    1. 👍 0
    2. 👎 0
    posted by fatma

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    You have 2 digits, 2 numbers, reverse digits and 54 if the difference and the sum of all is 10 I'm not clear what you're asking, could you clarify what the conditions are for us please? My grandson came home with the problem that

    asked by Will on August 31, 2006
  2. maths

    when a 3 digits number is reversed, the number decreases by 396. the diffrence between the digits at the units place and the digit at the tens place is the same as the difference between the digits at the tens place and the

    asked by Madhurima Mishra on June 23, 2016
  3. math

    when you reverse the digits of the number 13,the number increases by 18.how many other 2digit numbers increase by 18 when their digits are reversed ?

    asked by wan on March 16, 2013
  4. maths

    The product of the digits of a positive two-digit number exceeds the sum of the digits by 39. If the order of the digits is reversed, the number is increased by 27. Find the number.

    asked by hemant on May 6, 2013
  5. Math

    What do the digits in the number 15 add up to? Answer 1+5=___. Using single digits, how many different ways can you add up to 6?. Example: The least number of digits is 2, and it is 1+5=6. The greatest number of digits is 6, and

    asked by Mohammed on March 21, 2010
  6. math

    A positive two-digits number is such that the product of the digits is 24.When the digits are reversed,the number formed is greater than the original number by 18.Find the number

    asked by wayne on August 16, 2016
  7. Math

    A number of two digits is such that twice the ten digits is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

    asked by Zulaiykherh on January 1, 2017
  8. Algebra

    A number consist of 3 digits.The middle digit is 0 and the sum of the first and last digits is 13.If the digits are reversed the number is increased by 297.Find the original number.MY SOLUTION: let x=the 1st digit & y=last digit

    asked by Oduro Hayford on August 20, 2016
  9. Mathematics

    A number of two digits is increased by 9. When the digits are reversed, the sum of the digits is 5. Find the number.

    asked by Audu Ibrahim on November 10, 2015
  10. Math Nunbers

    The sum of the digits of a positive three digit number Is 19. The tens digits is four less than twice the hundreds digit. The number is decreased by 99 when the digits are reversed. Find the number

    asked by Unfrud on December 5, 2015

More Similar Questions