The focal length of the combination is given by 1/ f combination (1/fc ) = 1/f + 1/Fm 
Assuming the the near point is 30 cm 
1/f = 1/30 + 1/v 
At 15 cm 
1/fc = 1/15 + 1/v 
1/fc = 1/15 + 1/f – 1/30 
1/fc – 1/f = 1/30 
1/f + 1/Fm – 1/f = 1/30 
1/Fm = 1/30 
Fm = 30 cm
Hope this answers. Have a nice day.