I am a three digit even number, sum of my digits is 3rd multiple of 5 ,my ones digit is biggest among the digits ,the difference of ones and hundreds digits is two,my tens digit is one more than hundred digit?
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The required three digit number is 456
In a three digit number :
- Sum of the digits is 3rd multiple of 5
- Ones digit is biggest
- The difference of ones and hundreds digits is 2
- Tens digit is 1 more than hundreds digit
- The number
Let us consider :
- The hundreds digit be x
- The tens digit be y
- The ones digit be z
Therefore , the number is
From the given conditions we have :
Putting the values from (2) and (3) in (1) we have :
Again putting the value of x in (2) and (3)
Thus , the required number is
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