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Question 876595: What does it means "two digit numbers that have a larger tens digit than ones digit"? And if we reverse the number and subtract it from original number will it always generate a number that is multiple of 9 ? If yes why? If not why?
Answer by dkppathak(439)   (Show Source):
You can put this solution on YOUR website! What does it means "two digit numbers that have a larger tens digit than ones digit"? And if we reverse the number and subtract it from original number will it always generate a number that is multiple of 9 ? If yes why? If not why?
let tens digit is X and one digit is Y where X is greater than Y
number will be 10X +Y
reverse number will be 10Y +X
as per given conditions
10X +Y -10Y-X= multiple of 9 wher tens digit is greater than ones (54,63,72,81,90)
9X -9Y = (54,63.72,81,90) by taking 9 common both side
X -Y =(1 or 3 or 5 or 7 or 9)
yes
number will we 54 or 63 or 72 or 81 or 90 answer
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