Two numbers are in the ratio 8:11 . Considering their H.C.f as 6, find the…

Regarding the problem involving the ratio 8:11 and H.C.F 6, it is helpful to visualize the relationship between these numbers.

When you have a ratio, say a:b, and an H.C.F of x, the actual numbers are always (a * x) and (b * x). This is because the H.C.F represents the greatest common divisor—the "building block" that has been divided out of the original numbers to create the simplest ratio.

Ratio = 8:11

H.C.F = 6

First Number = 8 * 6 = 48

Second Number = 11 * 6 = 66

This method ensures that the relationship between the two numbers remains identical to the original ratio while scaling them back up to their true values using the common factor.