Question

The least common multiple of two whole numbers is 60. The ratio of the greater number to the lesser number is 6:5. WhAt are the two numbers

Answer 1

The two numbers are 12 , 10

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 =
`(60)/(30)`

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