SOLUTION: The sum of the digits in a two-digit number is 7. The new number obtained when the digits are reversed is 27 less than the original number. Find the original number

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Question 580381: The sum of the digits in a two-digit number is 7. The new number obtained when the digits are reversed is 27 less than the original number. Find the original number
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the two digit number be xy
x in the ten's place & y in units place
x+y=7........................(1)
10y+x= 10x+y-27
9y-9x=27
/9
y-x=3........................(2)
Add (1) & (2)
2y= 7+3
2y=10
y=5
x+y =7
y=5
so x= 2
The number is 25