Answer Detail: RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.

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Question: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part. Then B came to the room and he divided the laddoos into four equal parts and A and B ate their part. Then C came to the room he divided the laddoos into four equal parts and he ate his part. Then at the last D came to the room he also divided the laddoos into four equal parts and he ate his part. The number of laddoos D ate was 3.

1. How many laddoos did A eat?

2. How many laddoos did B eat?

3. How many laddoos did C eat?

4. How many laddoos were there in the box altogether?

March 03, 2008 05:15:07	#4
satya1288	Member Since: January 2008 Total Comments: 6
RE: Four Friends A, B, C and D are living in a hostel. One day A’s uncle came and gave him a box of laddoos, According to their rule whatever they get will be equally divided among them. So A divided the laddoos into four equal parts and he ate his part.
Let number of laddoos be n Now n = A, 3A 3A = 3A/4(B), 9A/4 9A/4 = 9A/16(C), 27A/16 27A/16 = 27A/64(D), 81A/64 Given, D=3 =>A = 64/9 B = (364) / (94) = 16/3 C = (964) / (169) = 4 Total No of Laddoos = A+3A = 256/9

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