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Question 205928: Pls. help me regarding this example. I'll be taking a test of these soon. I just want to know how this is solved, I'm having trouble with the reversed word. Thanks.
The sum of the digit of a two no. is 9. If the digits are reversed, the numbers is increased by 27. Find the original no.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! The sum of the digit of a two no. is 9. If the digits are reversed, the numbers is increased by 27. Find the original no.
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It's confusing, because we don't think of a 2 digit # as 10 x the left digit plus the right digit.
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A 2 digit number is xy.
x+y = 9
The value of xy is 10x + y.
Reversed, 10y + x = 10x + y + 27
-9x + 9y = 27
-x + y = 3
x + y = 9
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2y = 12
y = 6
x = 3
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Check:
36 = 63 - 27, so it's correct.
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