Question

Impartind 2nr naturale obtinem catul 4 si restul 17. Sa se afle cele 2 nr ,stiind ca diferenta lor este egala 3872.

Answer 1

a:b=4,17=>a=4b+17
a-b=3872
4b+17-b=3872
3b=3855
b=3855:3=1285
a=1285×4+17=5157

Answer 2

a - b = 3,872
a : b = 4,17 => a = b ×4 + 17
------
a = ?
b = ?

PRIN METODA FIGURATIVA :

b |-----|
a |-----|-----|-----|-----|---|

3 p + 17 = 3,872
3 p = 3,872 - 17
3 p = 3,855
p = 3,855 : 3
p = 1,285

b = 1,285
a = 1,285 * 4 + 17
a = 5,140 + 17
a = 5,157

VERIFICARE : 5,157 - 1,285 = 3,872.