Answer:
The two numbers are 12 , 10
Step-by-step explanation:
Given as :
The least common multiple of two numbers = LCM = 60
The ratio of the greater number to lesser number = 6 : 5
let the greater number = 6 x
And The smaller number = 5 x
∵ The LCM of numbers = 60
So, 6 × 5 × x = 60
Or, 30 × x = 60
∴ x = [tex]\frac{60}{30}[/tex]
I.e x = 2
So The greater number = 6 x = 6 × 2 = 12
And The smaller number = 5 x = 5 × 2 = 10
Hence The two numbers are 12 , 10 Answer
