SOLUTION: The sum of the digits of a two digit number is 10.If 18 be subtracted from it the digits in the resulting number will be equal.Find the number.

Question 255070: The sum of the digits of a two digit number is 10.If 18 be subtracted from it the digits in the resulting number will be equal.Find the number.
Answer by vksarvepalli(154) (Show Source): You can put this solution on YOUR website!
let the number be ab
we have a+b=10
and 10a+b-18 is a multiple of 11 (because it has the same digits)
now since a+b=10 we have few possibilities (91,82,73,64,19,28,37,46) now subtract 18 from these nos and see which no is divisible by 11
we will get the answer as 73
73-18=55
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