# 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 Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### To solve this example are needed these knowledge from mathematics:

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