Two numbers are in the ratio of 5 : 9, and their LCM is 405. Find the numbers.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 45 and 81.
Two numbers are in the ratio of 5:9.
their LCM is 405
Let the two numbers be 5x and 9x
The LCM of 5x and 9x = 5 × 9 × x = 45x
According to the question
45x = 405
x = 405/45 = 9
now, 5x = 5 × 9 = 45
9x = 9 × 9 = 81
Hence, the two numbers are 45 and 81