SOLUTION: I am two digit number. I am twice the product of my digits. What number am I? I know that the number is 36. As 2(3*6)=36. How can I arrive at a formulae to arrive this answer.

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Question 96804: I am two digit number. I am twice the product of my digits. What number am I?
I know that the number is 36. As 2(3*6)=36. How can I arrive at a formulae to arrive this answer.
Answer by scott8148(5891) About Me  (Show Source):
You can put this solution on YOUR website!
let t=(tens digit), let u=(units digit) ... 2*t*u=10t+u ... 2tu-10t=u ...2t(u-5)=u ... 2t=u/(u-5)

u<10 and t<10 ... from the equation, u>5 and u/u-5 is an integer ... 6 is the only number that fits

if u is 6, then t is 3