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aflati numerele naturale x si y daca : 4+8+12+.....+396=200x

Răspuns :

4+8+12+....+396=200x
4(1+2+3+...+99)=200x
4*99*100:2=200x
396*100:2=200x
198*100=200x
19.800=200x
x=19.800:200
x=99

Dam factor comun pe 4 si avem:
4(1+2+3+.....+99):2=200x
2×[99×(99+1)]=200x
2×(99×100)=200x
2×9.900=200x
19.800=200x
x=19.800÷200
x=99