8th Grade Algebra

posted by .

These are extra credit questions, and I just want to know how to solve them.

1) The sum of two-digits of a two digit number is 14. If the number represented by reversing the digits is subtracted from the original number, the result is 18. What us the orinal number?

2) If 27 is added to a two-digit number, the result is a number with the same digits, but in reverse order. The sum of the digts is 11. What is the original number?

  • 8th Grade Algebra -

    1)Let the two digits be A and B, with A being the first digit.
    A + B = 14
    10A + B - (10B + A) = 18
    9A -9B = 18
    A - B = 2
    2A = 16
    A = 8
    B = 6
    The first two-digit number is 86.

    2) Use a similar procedure for #2
    A + B = 11
    10A + B + 27 = 10 B + A
    9A -9B +27 = 0
    You finish it

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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?
  2. algebra word prob. - one more

    The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number?
  3. Algebra

    Here is the problem: A two-digit number is eight times the sum of its digits.When the number is added to the number obtained by reversing the digits,the sum is 99. Find the original number. Please explain hot to solve it and it would …
  4. Algebra math.

    1) the sum of the digits of a two digit number is 9. The value of the number is 12 times the tens digit. Find the number. 2) the sum of the digits of a two digit number is 12. If 15 is added to the number the result is 6times the units …
  5. algebra

    The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number. Use x and y. Please help me!!!!
  6. Algebra 1--Please, help me!

    4. The sum of the digits of a two-digit number is 11. If 45 is added to the number, the digits will be reversed. a. Write a system of equations that you can use to find the digits of the number. Tell what each variable represents. …
  7. Math

    Twice the sum of the digits of a positive, two-digit integer is 19 greater than the ones digit. Reversing the digits decreases the number by 18.
  8. Math

    The sum of the digits of a two-digit number is 14. The number formed by reversing the digits is 36 more than the original number. What is the original number?
  9. Algebra

    In a two-digit number the units’ digit is 7 more than the tens’ digit. The number with digits reversed is three times as large as the sum of the original number and the two digits. Find the number.
  10. Algebra PLEASE HELPPP ASAP NEED HELP!!!

    In a two-digit number the units’ digit is 7 more than the tens’ digit. The number with digits reversed is three times as large as the sum of the original number and the two digits. Find the number.

More Similar Questions