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let the two number be A and B
so AxB=60
and A/B=15
thus A=15B
substitue in the equation above
15B xB=60
B^2=4, so B=2 or -2
thus A=-30 or 30
criteria met?
-2x-30=60
and -30/-2=15
or for the other pair
2x30=60
and 30/2=15