t00t= 1001*t

     =11*7*13*t

case(i)  :          xx*yz= 11t*91 (note that this no. is of same form).: t=1,2,...9

 

so, here are 9 solns..

case(ii):  yz*xx=13t*11*7=13t*77  .: t=1,2,....7 (:.they are 2 digited)

so, here,we hav 7 solns...

 

and there exists a common solution for both when t=7 in case2

 

hence total no of solns are 9+7-1`=15.....

 

hey, if its correct, tell me....