SOLUTION: The sum of digit of a 2digit number is 9 the number obtained by interchanging the digits exceed the given number by 27 find the given number

Question 756530: The sum of digit of a 2digit number is 9 the number obtained by interchanging the digits exceed the given number by 27 find the given number
Answer by nihar*2013(34) (Show Source): You can put this solution on YOUR website!
First Number at unit place is is x and tens place is y
So original number is 10y+x
After interchnaging digits number will be 10x+y
number obtained by interchanging the digits exceed the given number by 27

10y+x+27 = 10x+y

10y-y+x-10+27=0
9y-9x+27=0
9 (3y-3x+9=0)
3y-3x+9=0---------(1)
The sum of digit of a 2digit number is 9
x+y= 9---------------(2)
can be solved further by any method i will do by elimination method
Multiplyinjg eq 1 by 1 3y-3x=9
Multiplyinjg eq 2 by 3 3y+3x=27
- - -
- 6x = -18
x= -18/-6
x= 3
Subtituting value in eq 1
x+y=9
3+y=9
y=6
If u need it in word format let me know i have Many sums like this solved in word 2010 that looks best thanks
RELATED QUESTIONS
the sum of the digits of a 2-digit number is 7.the number obtained by interchanging the... (answered by ikleyn)

sum of the digits of a two no. is 9 the no. obtained by interchanging the digits exceed... (answered by checkley71)

the sum of two digit number and the number obtained by interchanging its digits is 99.... (answered by greenestamps,ikleyn,MathTherapy)

the sum of digits of a two digit number is 13. the number obtained by interchanging the... (answered by CubeyThePenguin,ikleyn,josgarithmetic)

The sum of the digits of a 2-digit number is 8.The number obtained by interchanging the... (answered by Stitch)

The sum of the digits of a 2-digit number is 8.The number obtained by interchanging the... (answered by neatmath)

A two digit number is such that the sum of its digit is 11.the number is 27 greater than... (answered by mananth)

The number obtained after interchanging the digits of a two digit number is greater than... (answered by luke94,Alan3354)

The sum of the digits of a two-digit number is 8. The number obtained by interchanging... (answered by ankor@dixie-net.com)