Question2Max. score: 1.00The L.C.M. of two numbers is 48. The numbers are in the ratio of 2: 3. Find sum of numbers.... 45504075

To find the numbers, we first need to understand that the L.C.M (Least Common Multiple) of two numbers is the product of the numbers divided by their G.C.D (Greatest Common Divisor).

In this case, we know that the L.C.M is 48 and the numbers are in the ratio 2:3. This means that the numbers can be represented as 2x and 3x, where x is a common factor.

Since the L.C.M is the product of the numbers divided by their G.C.D, and the G.C.D of two numbers that are in the ratio 2:3 is 1, we can say that 2x * 3x = 48.

Solving this equation for x gives us x = sqrt(48/6) = sqrt(8) = 2.83 (approximately).

Therefore, the two numbers are 2x = 22.83 = 5.66 (approximately) and 3x = 32.83 = 8.49 (approximately).

The sum of the numbers is therefore 5.66 + 8.49 = 14.15 (approximately).

So, none of the options given (45, 50, 40, 75) are correct.