LCM and HCF of two numbers is 120 and 10.Which of the following can be the sum of thosetwo number?

The product of two numbers is equal to the product of their LCM and HCF.

Let's denote the two numbers as a and b.

So, a * b = LCM(a, b) * HCF(a, b)

Given that LCM(a, b) = 120 and HCF(a, b) = 10, we can substitute these values into the equation:

a * b = 120 * 10 a * b = 1200

The sum of the two numbers (a + b) can be found by factoring 1200 into two factors. The possible pairs of factors are (1, 1200), (2, 600), (3, 400), (4, 300), (5, 240), (6, 200), (8, 150), (10, 120), (12, 100), (15, 80), (16, 75), (20, 60), (24, 50), (25, 48), (30, 40).

So, the possible sums of the two numbers (a + b) are 1201, 602, 403, 304, 245, 206, 158, 130, 112, 95, 91, 80, 74, 73, 70.

Therefore, the sum of the two numbers can be any of these values.