SOLUTION: If you add the 2 digits of a 2-digit number, their sum will be 6. The present number is 10 times greater as its opposite number. What is the present number?

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Question 22402: If you add the 2 digits of a 2-digit number, their sum will be 6. The present number is 10 times greater as its opposite number. What is the present number?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
LET THE DIGIT IN UNITS PLACE OF THE 2 DIGIT NUMBER BE X....SUM OF 2 DIGITS = 6
HENCE NUMBER IN TENS PLACE =6-X.......ITS VALUE IS 10(6-X)+X=60-10X+X=60-9X...
WHEN THE NUMBER IS REVERSED IT WILL BE X IN TENS PLACE AND 6-X IN UNITS PLACE...SO ITS VALUE IS ..10X+6-X=9X+6.....WE ARE GIVEN THAT THE FIRST NUMBER IS 10 TIMES THE SECOND NUMBER...SO
10(9X+6)=60-9X
90X+60=60-9X
90X+9X=60-60
99X=0
X=0
SO THE NUMBER IS 60.....