Find out the number

Algebra Level pending

The sum of two digit number is 9. Also, 9 times this number is twice the number obtained by reversing the order of digits of the number. Find the number.

18 27

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1 solution

t = t e n s d i g i t t=tens~digit

u = u n i t s d i g i t u=units~digit

t + u = 9 t+u=9 (equation 1)

9 ( 10 t + u ) = 2 ( 10 u + t ) 9(10t+u)=2(10u+t) (equation 2)

Solving the system of equations gives t = 1 t=1 and u = 8 u=8 .

So the answer is 18 18 .

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