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sweet-ann [11.9K]
3 years ago
12

The sum of two numbers is 9. And the sum of their reciprocals is 1/2.find the numbers

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0
Set up a system of equations:

x + y = 9
1/x +1/y = 1/2

The easiest way to solve would be substitution.
x + y = 9 can be solved for y:

y = 9 - x

Then plug this into the second equation and solve for x:

1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3

You can check your answer by plugging the two numbers back into both of the equations:

6 + 3 = 9
1/6 + 1/3 = 1/2

The two numbers are 6 and 3.
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3 0
3 years ago
Mr. Abraham is 36 years old. His wife is 6 years younger than him and their son is 24 years old younger than his wife. What is t
sesenic [268]
Hi!
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We also know that Mr A’s son is 24 years younger than his wife, which is 30-24, which is 6.

As of right now, we now know that:
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BUT, it’s asking for simplest form, so divide each of those numbers by 6.

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Neko [114]

Here it is given that f(x)=3x and g(x)=1/x

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The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

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