Answer:
To find the three numbers when they are in the ratio 3:5:7 and their highest common factor (HCF) is 4, we need to first express the numbers in their simplest form based on the given ratio.
Let's assume the numbers are 3x, 5x, and 7x, where x is a common factor. Since the highest common factor (HCF) of the numbers is 4, we need to find a common factor of 4 for all three numbers.
The HCF of the numbers is the greatest number that can divide all three numbers evenly. In this case, the HCF is 4.
Given:
3x, 5x, 7x
HCF = 4
Since the HCF is 4, we need to find the common factor of 4 for 3x, 5x, and 7x. The common factor of 4 for these numbers is 4 itself.
So, we can express the numbers as:
3x = 3 * 4 = 12
5x = 5 * 4 = 20
7x = 7 * 4 = 28
Therefore, the three numbers in the ratio 3:5:7 with a highest common factor of 4 are 12, 20, and 28.