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

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) (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

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