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y=cyfra jedności
10x+y= liczba dwucyfrowa
x+y=6 y=6-x
10y+x= przestawiona liczba
(10x+y)(10y+x)=1008
(10x+6-x)[10(6-x) +x]=1008
[9x+6] * [60-10x+x]=1008
[9x+6] *[60-9x]=1008
540x-81x²+360-54x=1008
81x²-486x+648=0 /;9
9x²-54x+72=0
Δ=2916-2592=324 √Δ=18
x1=[54-18]/18=2 x2=[54+18]/18=4
to liczba 24 lub 42