The line $A B$ is divided in the ratio $2 : 3$ by the point $C$ . If the length of $A C$ is $3$ units, find the length of $C B$ .

5

units

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5.5

units

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4.5

units

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4

units

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Solution

The correct option is C $4.5$ units

The given ratio is $2 : 3$ .

$\frac{A C}{C B} = \frac{2}{3}$

$\frac{A C \times 3}{2} = C B$

$\frac{3 \times 3}{2} = C B$

$C B = 4.5$ units

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