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Linear Equation in 2 Variables

The greater o...

Question

The greater of two numbers is 8 times the smaller and their sum is 180. Find the numbers.

160

and

20

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80

and

10

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240

and

30

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200

and

25

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Solution

The correct option is A $160$ and $20$
Let the numbers be $x$ and $y$
$x = 8 y x + y = 180 8 y + y = 180 y = 20 ∴ x = 160$

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The sum of two numbers is 8 and 15 times the sum of their reciprocals is also 8. Find the numbers.

15

25

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