Find this strange number

Algebra Level 2

A two-digit number is three times the sum of its digits. Find this number.


The answer is 27.

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1 solution

The number is 10 t + u 10t+u and the sum of its digits is t + u t+u . So the equation is 10 t + u = 3 ( t + u ) 10t+u=3(t+u) . Simplifying further, we get

t u = 2 7 \dfrac{t}{u}=\dfrac{2}{7}

So the desired answer is 27 \boxed{27} .

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