Question

The least common multiple of two whole numbers is 60. The ratio of the greater number to the lesser number is 10 : 3. What are the two numbers

Answer 1

20 and 3

Explanation:

Hello!

The LCM of the two numbers is 60.

The two numbers are split into 13 parts (10 + 3).

Let each part be x:

• 10 * x
• 3 * x

10 * x * 3 * x = 60

But we want the least common multiple, so we can rewrite it as:

• 10 * 3 * x = 60
• 30 * x = 60
• 30x = 60
• x = 2

Now we can solve for 10x and 3x:

• 10x = 10(2) = 20
• 3x = 3(2) = 6

The two numbers are 20 and 3.