Question

Ajutati-ma va rog sa rezol aceasta problema:

(1+2+3+...........+100):X=101


Multumesc anticipat!

Answer 1

(1+2+3+.............+100):x=101
Aplicam suma lui Gauss si relatia devine:
100*101:2=101*x
x=50*101/101=50

Answer 2

1+2+3+....+100=$\frac{100(100+1)}{2}$

($\frac{100·101}{2}$):X=101
se simplifica 2 cu 100, ramanand la numitor (50·101):X=101
X=$\frac{101}{50·101}$
se imparte 101 la 101=1 ⇒ X=$\frac{1}{50}$