Question

A number is three times the sum of its digits. find the number
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Answer 1

Answer:

27 is the correct answer

Explanation

Let’s try a two digit number X with digits A and B

X = 10A + B

And since the number X is 3 times the sum of digits

X = 3(A +B) = 3A + 3B

Set the equations equal

10A + B = 3A + 3B

Reduces to 7A = 2B

Since A and B are less than 10 (they are digits) then A must equal 2 and B equals 7

So X is 27. Verifying the result: sum of digits is 9, and 3 x 9 = 27