The LCM of 192 and 480 is 60 more than the 100 times of X. What is the value of X?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 9.
L.C.M(192 and, 480)
⇒ 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3
⇒ 480 = 2 × 2 × 2 × 2 × 2 × 5 × 3
L.C.M = 960
⇒ 960 = 100X + 60
⇒ 960 - 60 = 100X
⇒ 900 = 100X
⇒ X = 9
Hence, the value of X is 9