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 17 19
We can write it , As :
4199 = ( 13 17 ) 19
4199 = 221 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 )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
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 17 19
We can write it , As :
4199 = ( 13 17 ) 19
4199 = 221 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 )
Hope this information will clear your doubts about topic.
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards