Question

aflati numerele a si b, știind ca sunt invers proportionale cu 2 si 3, iar a +b=50

Answer 1

2a = 3b = k

a = k/2

b = k/3

a + b = 50 => k/2 + k/3 = 50 => 3k/6 + 2k/6 = 50 => 5k/6 = 50

5k = 6*50 = 300

k = 300:5 = 60

Atunci a = k/2 = 60/2 = 30

b = k/3 = 60/3 = 20

Answer 2

a + b = 50

a = k/2

b = k/3

k/2 + k/3 = 50

3k + 2k = 300

5k = 300

k = 60

a = 60/2 = 30

b = 60/3 = 20