Question

impartind doua numere obtinem catul 4 si reztul 17. sa se afle ce doua numere stiind ca difetenta lor este 3872

Answer 1

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.

Answer 2

a,b-nr.
a:b=4 r 17
a=4b+17
a-b=3872
4b+17-b=3872
4b-b=3872-17


3b=3855


b=3855:3


b=1285


a=4b+17
a=4×1285+17


a=5140+17
a=5157