if x is a prime and y is a composite number such that x+y=240 and their lcm=4199 so tell the two numbers answer with solution and steps
 

Dear Student,

Please find below the solution to the asked query:

Given  : if x is a prime and y is a composite number such that x + y = 240 and their LCM = 4199 We find prime factorisation of 4199 and get

4199  =  13 $\times$ 17 $\times$ 19 

We can write it , As :

4199 = ( 13 $\times$ 17 ) $\times$ 19

4199 = 221 $\times$ 19 

Here , 19 is a prime number and 221 is a composite number .

We have :  x  +  y  =  240  , where x  is prime number and y is composite number , So 

We take x  =  19  and y  =  221 and substitute in above equation :

19 + 221 = 240

240 = 240                          ( Satisfied )

Therefore,

Prime number =  x  =  19

And

Composite number  =  y  =  221                                                 ( Ans )

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