Hi everybody, there was a german mathematician and child prodigy and his name was Carl Friedrich Gauss. When Gauss was ten years old, his teacher gave the class a problem, the problem was that the teacher wanted the class to add every digit from 1 to 100. Well this is a funny problem and you do not have to be civic engineer or a mathematician to solve this problem. Gauss was quick and he had his own way to solve this problem. How would you have solved this problem? To add every digit from 1 to 100.
  Well, I would have solved the problem this way. I would have deleted 100 and 50 from the rest of the digits.  100+0=100 and then you do not have a match to 50. I will show you my way of thinking.

=99+1+98+2+97+3+96+4+95+5+94+6+93+7+92+8+91+9+90+10=1000
=89+11+88+12+87+13+86+14+85+15+84+16+83+17+82+18+81+19+80+20=1000
=79+21+78+22+77+23+76+24+75+25+74+26+73+27+72+28+71+29+70+30=1000
=69+31+68+32+67+33+66+34+65+35+64+36+63+37+62+38+61+39+60+40=1000
=59+41+58+42+57+43+56+44+55+45+54+46+53+47+52+48+51+49=900

=>1000+1000+1000+1000+900+100+50=5050

Answer 5050

Or

=99+98+97+96+95+94+93+92+91+90+1+2+3+4+5+6+7+8+9+10=1000
=89+88+87+86+85+84+83+82+81+80+11+12+13+14+15+16+17+18+19+20=1000
=79+78+77+76+75+74+73+72+71+70+21+22+23+24+25+26+27+28+29+30=1000
=69+68+67+66+65+64+63+62+61+60+31+32+33+34+35+36+37+38+39+40=1000
=59+58+57+56+55+54+53+52+51+41+42+43+44+45+46+47+48+49=900

=> 4*1000+900+100+50=5050

Answer 5050

  copyright von Johanna Salo

It is sunday evening and now i have to study italian and compose. I have exersized for two hours today, to prevent the aging process. Health is about quality of life.

Ciao Johanna