Friends

Some friends had to collect the sum 72 EUR equally. If the three refused their part, others would have to give each 4 euros more. How many are friends?

Result

n =  9

Solution:

n=1	e=72	(n-3).(e+4)=-152
n=2	e=36	(n-3).(e+4)=-40
n=3	e=24	(n-3).(e+4)=0
n=4	e=18	(n-3).(e+4)=22
n=5	e=14.4	(n-3).(e+4)=36.8
n=6	e=12	(n-3).(e+4)=48
n=7	e=10.2857142857	(n-3).(e+4)=57.1428571429
n=8	e=9	(n-3).(e+4)=65
n=9 ****	e=8	(n-3).(e+4)=72
n=10	e=7.2	(n-3).(e+4)=78.4
n=11	e=6.54545454545	(n-3).(e+4)=84.3636363636
n=12	e=6	(n-3).(e+4)=90
n=13	e=5.53846153846	(n-3).(e+4)=95.3846153846
n=14	e=5.14285714286	(n-3).(e+4)=100.571428571
n=15	e=4.8	(n-3).(e+4)=105.6
n=16	e=4.5	(n-3).(e+4)=110.5
n=17	e=4.23529411765	(n-3).(e+4)=115.294117647
n=18	e=4	(n-3).(e+4)=120
n=19	e=3.78947368421	(n-3).(e+4)=124.631578947
n=20	e=3.6	(n-3).(e+4)=129.2
n=21	e=3.42857142857	(n-3).(e+4)=133.714285714
n=22	e=3.27272727273	(n-3).(e+4)=138.181818182
n=23	e=3.13043478261	(n-3).(e+4)=142.608695652
n=24	e=3	(n-3).(e+4)=147
n=25	e=2.88	(n-3).(e+4)=151.36
n=26	e=2.76923076923	(n-3).(e+4)=155.692307692
n=27	e=2.66666666667	(n-3).(e+4)=160
n=28	e=2.57142857143	(n-3).(e+4)=164.285714286
n=29	e=2.48275862069	(n-3).(e+4)=168.551724138
n=30	e=2.4	(n-3).(e+4)=172.8
n=31	e=2.32258064516	(n-3).(e+4)=177.032258065
n=32	e=2.25	(n-3).(e+4)=181.25
n=33	e=2.18181818182	(n-3).(e+4)=185.454545455
n=34	e=2.11764705882	(n-3).(e+4)=189.647058824
n=35	e=2.05714285714	(n-3).(e+4)=193.828571429
n=36	e=2	(n-3).(e+4)=198
n=37	e=1.94594594595	(n-3).(e+4)=202.162162162
n=38	e=1.89473684211	(n-3).(e+4)=206.315789474
n=39	e=1.84615384615	(n-3).(e+4)=210.461538462
n=40	e=1.8	(n-3).(e+4)=214.6
n=41	e=1.75609756098	(n-3).(e+4)=218.731707317
n=42	e=1.71428571429	(n-3).(e+4)=222.857142857
n=43	e=1.67441860465	(n-3).(e+4)=226.976744186
n=44	e=1.63636363636	(n-3).(e+4)=231.090909091
n=45	e=1.6	(n-3).(e+4)=235.2
n=46	e=1.5652173913	(n-3).(e+4)=239.304347826
n=47	e=1.53191489362	(n-3).(e+4)=243.404255319
n=48	e=1.5	(n-3).(e+4)=247.5
n=49	e=1.4693877551	(n-3).(e+4)=251.591836735
n=50	e=1.44	(n-3).(e+4)=255.68
n=51	e=1.41176470588	(n-3).(e+4)=259.764705882
n=52	e=1.38461538462	(n-3).(e+4)=263.846153846
n=53	e=1.35849056604	(n-3).(e+4)=267.924528302
n=54	e=1.33333333333	(n-3).(e+4)=272
n=55	e=1.30909090909	(n-3).(e+4)=276.072727273
n=56	e=1.28571428571	(n-3).(e+4)=280.142857143
n=57	e=1.26315789474	(n-3).(e+4)=284.210526316
n=58	e=1.24137931034	(n-3).(e+4)=288.275862069
n=59	e=1.22033898305	(n-3).(e+4)=292.338983051
n=60	e=1.2	(n-3).(e+4)=296.4
n=61	e=1.18032786885	(n-3).(e+4)=300.459016393
n=62	e=1.16129032258	(n-3).(e+4)=304.516129032
n=63	e=1.14285714286	(n-3).(e+4)=308.571428571
n=64	e=1.125	(n-3).(e+4)=312.625
n=65	e=1.10769230769	(n-3).(e+4)=316.676923077
n=66	e=1.09090909091	(n-3).(e+4)=320.727272727
n=67	e=1.07462686567	(n-3).(e+4)=324.776119403
n=68	e=1.05882352941	(n-3).(e+4)=328.823529412
n=69	e=1.04347826087	(n-3).(e+4)=332.869565217
n=70	e=1.02857142857	(n-3).(e+4)=336.914285714
n=71	e=1.01408450704	(n-3).(e+4)=340.957746479

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