A three digit is such that his number itself is divisible by sum of its digits. The sum of 100 digit is 6 while the sumnof tens and unit digit is 5. What is the ratio of unit and tens digit?
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Answer:
H+U=6
T+U=5 (where H is hundren, T is ten and u is unit)
Therefore, H-T=1 (FROM THIS WE KNOW THAT H IS GRRATER THAN T)
Since H+U=6, H Cannot be greater than 6
Since this is 3 digit number H cannot be 0
The value of T IS H-1
SO by substitute the value of H from 1 to 6 until the given condition is satisfied.
Therefore the number is 432
The ratio of U and T is 2:3
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