When two lenses are combined together, the focal length of the combination
1 / F = 1 / f1 + 1 / f2
where f1 and f2 are the focal lengths of the individual lens
We take a Converging lens have the maximum focal length
and a Diverging lens having the maximum focal length and combine them .
The focal length of the combination
F = [f1 *( -f2 )] / ( f1- f2 )
the denominator will be a minimum and therefore F will be a maximum.