algebra
posted by nicole .
The sum of the digits of a twodigit number is eleven. If the digits are reversed, the new number is sixtythree less than the original number. Find the original number.
Help? &explain how you got the answer please.

algebra 
Reiny
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
add them
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!!!
Respond to this Question
Similar Questions

math ALGEBRA
When the digits of twodigits 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? 
math
The sum of the digits of a twodigit 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. 
Algebra 1
Hello, can someone check my answer the the question below? 
Algebra 2
The sum of the digits of a twodigit 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. 
algebra
The value of a certain twodigit 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... … 
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 
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? 
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? 
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 
Maths
The sum of the digits of a two digit number is 12 . If the digits are reversed , the new number is 12 less than double the original number. Find the number