# algebra

posted by .

The sum of the digits of a two-digit number is eleven. If the digits are reversed, the new number is sixty-three less than the original number. Find the original number.

• algebra -

let the unit digit be x, and the tens digit be y
then the origianl number is 10y+x

and the number reversed would be 10x + y

10x + y = 10y+x - 63
9x - 9y = -63
x - y = -7
but we also know x+y = 11
2x = 4
x = 2 , then y = 9

the original number was 92

check
old number = 92
new number = 29
is 29 less than 92 by 63 ? YES!!!

## 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. ### math

The sum of the digits of a two-digit number is 14. If the numbers are reversed, the new number is 18 less than the original number. Find the original number. I know Ana asked this question, but i don't understand how to get the equations.
3. ### Algebra 1

Hello, can someone check my answer the the question below?
4. ### Algebra 2

The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. Find the original number. I hate silly word problems like this, please help me out.
5. ### algebra

The value of a certain two-digit number is eight times he sum of its digits. if the digits of the number are reversed the result is 45 less than the original number. find the original number. **please show both equations and work... …
6. ### algebra

A number consists of two digits. The sum of twice the tens digit an 5 times the units digit is 19. If the digits are reversed, the new number is 54 less than the original number. Find the number
7. ### Algebra

A two digit number is three less than seven times the sum of its digits. if the digits are reversed, the new number is 18 less than the original number. what is the new number?
8. ### Algebra

A two digit number is three less than seven times the sum of its digits. if the digits are reversed, the new number is 18 less than the original number. what is the new number?
9. ### algebra

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original number. What is the original number?
10. ### algebra

the sum of the digits of a three digit number is 20. the middle digit is equal to one fourth the sum of the other two. if the order of the digits be reversed the number increases the original by 198 find the original number

More Similar Questions