The Least Common Multiple of two prime numbers x and y, (x < y) is 141. Then what is the value of (y - 5x)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 32.
The LCM of two prime numbers(x, y) = x × y
⇒ x × y = 141
The prime factorization of 141
⇒ 141 / 3 = 47
⇒ 141 = 3 × 47
( x = 3 ) and ( y = 47), as ( x < y ).
calculate( y - 5x ):
⇒ y - 5x = 47 - 5 × 3 = 47 - 15 = 32
The value of ( y - 5x ) is (32)