answersLogoWhite

0


Best Answer

Two specific cases of pairs of numbers whose product is 21 are: 1 x 21 and 3 x 7.

The ratio of their sum to their difference is:

1 x 21 ... (21+1):(21 - 1) = 22:20 = 11 : 10, and

3 x 7 ... (3+7):(7-3) = 10:4 = 5 : 2.

To find a general formula, let the larger number be x and the smaller be 21/x.

Their sum is x + 21/x = (x^2 +21)/x

Their difference is x - 21/x = (x^2 -21)/x

Ratio of sum to difference is [(x^2+21)/x] / [(x^2-21)/x]

= [(x^2+21)/x] * [x/(x^2-21)]

= (x^2+21)/(x^2-21)

Check: This formula produces the results found above.

User Avatar

Wiki User

9y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the ratio of the sum of two numbers whose product is 21 to their difference?
Write your answer...
Submit
Still have questions?
magnify glass
imp