Friends

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

Correct answer:

n = 9

Step-by-step explanation:

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=10.285714285714	(n-3).(e+4)=57.142857142857
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=6.5454545454545	(n-3).(e+4)=84.363636363636
n=12	e=6	(n-3).(e+4)=90
n=13	e=5.5384615384615	(n-3).(e+4)=95.384615384615
n=14	e=5.1428571428571	(n-3).(e+4)=100.57142857143
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=4.2352941176471	(n-3).(e+4)=115.29411764706
n=18	e=4	(n-3).(e+4)=120
n=19	e=3.7894736842105	(n-3).(e+4)=124.63157894737
n=20	e=3.6	(n-3).(e+4)=129.2
n=21	e=3.4285714285714	(n-3).(e+4)=133.71428571429
n=22	e=3.2727272727273	(n-3).(e+4)=138.18181818182
n=23	e=3.1304347826087	(n-3).(e+4)=142.60869565217
n=24	e=3	(n-3).(e+4)=147
n=25	e=2.88	(n-3).(e+4)=151.36
n=26	e=2.7692307692308	(n-3).(e+4)=155.69230769231
n=27	e=2.6666666666667	(n-3).(e+4)=160
n=28	e=2.5714285714286	(n-3).(e+4)=164.28571428571
n=29	e=2.4827586206897	(n-3).(e+4)=168.55172413793
n=30	e=2.4	(n-3).(e+4)=172.8
n=31	e=2.3225806451613	(n-3).(e+4)=177.03225806452
n=32	e=2.25	(n-3).(e+4)=181.25
n=33	e=2.1818181818182	(n-3).(e+4)=185.45454545455
n=34	e=2.1176470588235	(n-3).(e+4)=189.64705882353
n=35	e=2.0571428571429	(n-3).(e+4)=193.82857142857
n=36	e=2	(n-3).(e+4)=198
n=37	e=1.9459459459459	(n-3).(e+4)=202.16216216216
n=38	e=1.8947368421053	(n-3).(e+4)=206.31578947368
n=39	e=1.8461538461538	(n-3).(e+4)=210.46153846154
n=40	e=1.8	(n-3).(e+4)=214.6
n=41	e=1.7560975609756	(n-3).(e+4)=218.73170731707
n=42	e=1.7142857142857	(n-3).(e+4)=222.85714285714
n=43	e=1.6744186046512	(n-3).(e+4)=226.97674418605
n=44	e=1.6363636363636	(n-3).(e+4)=231.09090909091
n=45	e=1.6	(n-3).(e+4)=235.2
n=46	e=1.5652173913043	(n-3).(e+4)=239.30434782609
n=47	e=1.531914893617	(n-3).(e+4)=243.40425531915
n=48	e=1.5	(n-3).(e+4)=247.5
n=49	e=1.469387755102	(n-3).(e+4)=251.59183673469
n=50	e=1.44	(n-3).(e+4)=255.68
n=51	e=1.4117647058824	(n-3).(e+4)=259.76470588235
n=52	e=1.3846153846154	(n-3).(e+4)=263.84615384615
n=53	e=1.3584905660377	(n-3).(e+4)=267.92452830189
n=54	e=1.3333333333333	(n-3).(e+4)=272
n=55	e=1.3090909090909	(n-3).(e+4)=276.07272727273
n=56	e=1.2857142857143	(n-3).(e+4)=280.14285714286
n=57	e=1.2631578947368	(n-3).(e+4)=284.21052631579
n=58	e=1.2413793103448	(n-3).(e+4)=288.27586206897
n=59	e=1.2203389830508	(n-3).(e+4)=292.33898305085
n=60	e=1.2	(n-3).(e+4)=296.4
n=61	e=1.1803278688525	(n-3).(e+4)=300.45901639344
n=62	e=1.1612903225806	(n-3).(e+4)=304.51612903226
n=63	e=1.1428571428571	(n-3).(e+4)=308.57142857143
n=64	e=1.125	(n-3).(e+4)=312.625
n=65	e=1.1076923076923	(n-3).(e+4)=316.67692307692
n=66	e=1.0909090909091	(n-3).(e+4)=320.72727272727
n=67	e=1.0746268656716	(n-3).(e+4)=324.77611940299
n=68	e=1.0588235294118	(n-3).(e+4)=328.82352941176
n=69	e=1.0434782608696	(n-3).(e+4)=332.86956521739
n=70	e=1.0285714285714	(n-3).(e+4)=336.91428571429
n=71	e=1.0140845070423	(n-3).(e+4)=340.95774647887

n e = 72 (n - 3) (e + 4) = 72 n = 9 e = 8

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