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Aflati numarul x din egalitatea:
[(2×X-100):3+100]:2=100


Răspuns :

[ ( 2 × X - 100 ) : 3 + 100 ] : 2 = 100

( 2 × X - 100 ) : 3 + 100 = 100 × 2

( 2 × X - 100 ) : 3 + 100 = 200

( 2 × X - 100 ) : 3  = 200 - 100

( 2 × X - 100 ) : 3 = 100

2 × X - 100 = 100 × 3

2 × X - 100 = 300

2 × X = 300 + 100

2 × X = 400

X = 400 : 2

X = 200 → numarul, aflat prin metoda mersului invers

= (2•x-100):3+100= 100•2 = 200=

=> (2•x-100):3 = 200 - 100 = 100 =

=> 2X - 100 = 100 • 3 = 300

=> 2x = 300 + 100 = 400

=> X = 400 : 2= 200

X= 200