Question6Max. score: 1.00The LCM and HCF of two numbers are 240 and 16 respectively. If two numbers are in the ratio 3: 5, then the bigger number is:.75709080

The problem is asking for the larger of two numbers given their Least Common Multiple (LCM), Highest Common Factor (HCF), and ratio.

Here are the steps to solve the problem:

1. We know that the product of two numbers is equal to the product of their LCM and HCF. So, let's denote the two numbers as 3x and 5x (since they are in the ratio 3:5).

2. We can set up the equation: (3x) * (5x) = LCM * HCF. Substituting the given values, we get: 15x^2 = 240 * 16.

3. Solving for x^2, we get: x^2 = (240 * 16) / 15 = 256.

4. Taking the square root of both sides, we find that x = 16.

5. Now, to find the larger number, we substitute x = 16 into 5x, which gives us 5*16 = 80.

So, the larger number is 80.