Question

suma a doua numere este de 4 ori mai mare decat diferenta lor.identifica-le stiind ca diferenta este cu 24 mai mica decat suma

Answer 1

a + b = 4 x( a - b)
a - b = a + b - 24
a + b = a - b + 24
4a - 4b = a - b + 24
4a - 4b - a + b = 24
3a - 3b = 24
3(a - b) = 24
a - b = 24:3
a - b =8
a = b + 8
a + b = 4 x 8 = > 32
b + 8 + b = 32
2b + 8 = 32
2b = 32 - 8
2b = 24
b = 24 : 2
b = 12
a = 32 - 12 = 20

20 +12 = 4 x (20 - 12)
32 = 4 x 8
32 = 32

Answer 2

a + b = 4×(a-b)
(a - b) = (a + b) - 24 ==>
==> (a+b) - (a-b) = 24

Metoda grafica:

a+b |____|____|____|____|

a-b |____|

Avem 4 segmente egale - 1 segment egal = 3 segmente egale = 24

24 : 3 = 8 (un segment egal)

a+b = 4×8 = 32
a - b = 8 ==> a = b +8

a |________|+8

b |________|

2 segmente egale + 8 = 32
32 - 8 = 24
24 : 2 = 12 (un segment egal)

a = 12+8 = 20
b = 12


Verificam:
20 + 12 = 4×(20-12)
32 = 4×8
32 = 32
32 - 8 = 24


a = 20
b = 12