Question

if x is a prime number and y is a composite number the sum of x and y is 240 a d their lcm is 4199 . find the number.​

Answer 1

${\huge{\bold{\underline{Answer:-}}}}$

The value of x=221 and y=19.

Step-by-step explanation:

Given :

If x is a prime, y is a composite number such that x + y = 240 and their LCM is 4199.

To Find : The value of x and y ?

Solution :

If x is prime number.

The factors is 1,x

If y is a composite number.

The factors are 1,a,b,c___n

The HCF of x and y is 1.

The LCM of numbers is 4199.

We know,

Product of number = HCF × LCM

i.e. x × y = 1 × 4199

xy = 4199____[1]

We have given, x + y = 240 ____[2]

Solving (1) and (2),

See the first attachment

The point satisfying equation is (0,19)

i.e. y=19

Substitute in (2),

See the second attachment

Therefore, The value of x=221 and y=19.