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

Question

4 years ago

11

two numbers

1 answer:

maks197457 [2] · Answer 1 · 2021-12-30T08:58:41+03:00

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 = $\frac{60}{30}$

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