AB is a line 24 centimeters long. A point P is to be marked on it such that AP : PB is 3 : 5. How far away from A should P be marked?

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Solution

Ratio of AP to PB = 3 : 5

So, a line 8 (= 3 + 5) cm long has a point P marked on it such that AP = 3 cm and PB = 5 cm.

Length of AB = 24 cm

Length of AP = 24 × cm = 9 cm

Thus, point P should be marked 9 cm away from point A.

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