Question

if (3a+2b) : (2a+5b) = 12:19 , then find a : b.​

Answer 1

Answer:

a:b = 2:3

Step-by-step explanation:

As, (3a+2b) : (2a+5b) = 12:19

So, 3a + 2b = 12

=> a = (12-2b)/3 (1)

And also, 2a + 5b = 19

=> 2 × (12-2b)/3 + 5b = 19. [From (1)]

$= > \frac{24 - 4b + 15b}{3} = 19$

=> 24 + 11b = 19×3

=> 11b = 57 - 24

=> b = 33/11 = 3

So in (1) -

a = (12-2×3)/3

=> a = (12-6)/3

=> a = 6/3 = 2

Answer 2

a:b::3:2

Step-by-step explanation:

Explanation in picture