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What is the ratio of the sum of two numbers whose product is 21 to their difference?
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.
What else can I help you with?
Find two numbers whose product is 30 and whose sum is 13?
10 and 3
Find three consecutive numbers whose product is 15600?
24,25,26
Find two numbers whose sum is 48 and whose difference is 4?
22 and 26
What are two numbers whose sum is 54 and difference is 28?
=The Two numbers are 41 and 13.=
Find two consecutive even numbers whose product is 288?
They are 16 and 18
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-76 and 76 whose product is -5776.
I am the ratio of the sum of two numbers whose product is 21 to their difference. what ratio am I?
3 & 7? Sum 10, difference 4 so ratio 5:2 or 1 & 21? Sum = 22, difference 20 so ratio 11:10
What is the minimum product of two numbers whose difference of 22 What numbers yield this product?
11
What is the minimum product of two numbers whose difference is 7?
-12
What is the minimum product of two numbers whose difference is 10?
-5 * 5 = -25
Which two prime numbers has a difference is 36 and whose product is 901?
17 and 53
Two numbers whose product is 24 and whose difference is 10?
12 x 2 = 24 12 - 2 = 10 The two numbers are therefore 2 and 12.
What are the 2 numbers whose product is one called?
Numbers whose product is one is called multiplicative inverses.
What are two numbers whose product is 76 and whose difference is 15?
4 and 19 4 x 19 = 76 19 - 4 = 15
What are the two prime numbers whose product is 141?
two prime numbers whose product is 141 = 3 & 47
What are the only 2 prime numbers whose product is 21?
3 and 7 are prime numbers whose product is 21.
One of the two numbers whose product is 1?
Any two numbers whose product is '1' are each others' reciprocals.
