Question

Rezolvati in numere naturale , ecuatiile : 
23+24+25+...........+122-7*11=x+23*47-23*46

Answer 1

[tex]23+(23+1)+(23+2)+....+(23+99)-7*11=x+23(47-46)\\ 100*23+(1+2+3+....+99)-77=x+23*1\\ 2300+ \frac{99*100}{2} -77=x+23\\ 2300+4950-77-23=x\\ x=7150[/tex]

Answer 2

23+(23+1)+(23+2)+....+(23+99)-7*11=x+23(47-46)
100*23+(1+2+3+....+99)-77=x+23*1
2300+$\frac{99*100}{2}$-77=x+23
2300+4950-77-23=x
x=7150