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Solve This Math Problem - 2 January

3 kids prinka tanu and vidushi got some chocolates.
Prinka gave tanu and vidushi as many chocolates as they already had.
Then tanu gave prinka and vidushi as many chocolates as they already had.
Finally vidushi gave tanu and prinka as many chocolates as they already had.

Now each of them have 24 chocolates. How many chocolates they had originally ?

1. 39 12 n 21

2. prinka-39,tanu-21 n vidushi-12

1. Agree.

This is the sequence of events. Can easily be worked out by working backwards.

P = Prinka, T = Tanu, V = Vidushi
0) P:39, T:21, V:12
P->21->T, P->12->V
1) P:6, T:42, V:24
T->6->P, T->24->V
2) P:12, T:12, V:48
V->12->P, V->24->T
3) P:24 T:24 V:24

-AO

Solve the problem in reverse way as below :
Prinka Tanu Vidushi
24 24 24
12 12 48
6 42 24
39 21 12

4. prinka - 39, tanu-21, vidushi-12

5. house1 is 5 pop. and house2 is 7 pop.

6. I think the mathematically correct answer is the below one
starting with

P T V

P-T-V 2T 2V

2(P-T-V) 2T-2P+2T+2V-2V 4V

2P-2T-2V 4T-2P 4V

3 EQUATIONS EACH IS EQUAL TO 24, Hence

^ 4V = 24 """ V=6 """

^ 4T-2P = 24

4T-24 = 2P

^ 2P-2T-2V = 24

4T-24-2T-2V = 24

2T-24-12=24

2T = 60 """ T=30 """
&
""" P=48 """