The teacher intended 3 numbers: a,b,c. Every number consists of two figures. He asked pupil to tell him 3 numbers: x,y,z, then teacher will say the number, which equals = a*x+b*y+c*z. Then pupil must find a, b and c. Which numbers x,y,z must say pupil to find a,b,c?
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And also (1, 10000, 1000000)
And every other number in this way.
In this way, at least, I could find one of those numbers and get 1/3 of the grade!
:)