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Romashka-Z-Leto [24]
3 years ago
8

Two consecutive odd whole numbers are selected. The difference between the reciprocals of the two numbers is 2/143. Determine th

e two numbers.
Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

  11 and 13

Step-by-step explanation:

Suppose the smaller one is x. Then the difference of their reciprocals is ...

  \dfrac{1}{x}-\dfrac{1}{x+2}=\dfrac{(x+2)-(x)}{x(x+2)}=\dfrac{2}{x(x+2)}

This tells us that x will be the smaller of the two factors of 143:

  143 = 11×13

  x = 11

The two numbers are 11 and 13.

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Given:
64 total students
x = drama club students
y = yearbook club students

x = y + 10
y = 64 - x

y = 64 - x
y = 64 - (y + 10)
y = 64 - y - 10
y + y = 64 - 10
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2y/2 = 54/2
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x = y + 10
x = 27 + 10
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To check:

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37 + 27 = 64
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