My friend has 3 less than twice the number of oranges I have. The ratio $\frac{number of oranges I have}{number of oranges my friend has}$ is equal to $\frac{2}{3}$ . How many oranges do each of us have?

Me - 6.
My friend - 7.

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Me - 8.
My friend - 12.

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Me - 6.
My friend - 9.

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Me - 10.
My friend - 15.

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Solution

The correct option is C Me - 6.
My friend - 9.
Let the number of oranges with me be x
Number of oranges with my friend = $2 x - 3$
$\frac{number of oranges I have}{number of oranges my friend has}$ = $\frac{x}{2 x - 3} = \frac{2}{3}$
$3 \times x = 2 \times (2 x - 3)$
$3 x = 4 x - 6$
$x = 6$
So I have 6 oranges.
My friend has $2 x - 3 = 2 \times 6 - 3 = 12 - 3 = 9$ oranges.

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