PQ * P3= 57Q.

P=? Q=?

Answer :

We have   PQ × P3  = 57Q 

We can see that unit digit of our solution is obtain by  Q × 3  = Q , from that we get unit digit same

First we can check for 0  , And get 

0  × 3  = 0 

Now we check that 

20 × 23   = 460 
or
30 × 33  = 990 


Here we can't get 570 as given in our equation .
So now we check for Q  =  5 
So,
× 3  =  15  

here we get unit digit of solution is same ( 5 ) 

So now we get 

25 × 23  =  575

So ,

P = 2 And Q  =  5                              ( Ans )



 

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