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A certain number of two digits is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is _______

  • a)
    16

  • b)
    72

  • c)
    63

  • d)
    27

  • e)
    Can not be determined

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A certain number of two digits is three times the sum of its digits. I...
A certain number of two digits is three times the sum of its digits only 27 satisfies this condition.
27 + 45 = 72
Therefore Ans is – 27
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A certain number of two digits is three times the sum of its digits. I...
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Community Answer
A certain number of two digits is three times the sum of its digits. I...
Let tens digit be x and ones be y,
then
10x+y=3(x+y) - (i)
and (10y+x)-(10x+y)=45 - (ii)
Solving these two, we get
x=2, y=7
Hence number is 27.

Hope it helps!
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