Question

If a: b= 3:4 then find the value of(6a-3b :(5a + 2b)​

Answer 1

Answer:

6 : 23

Step-by-step explanation:

$a : b = 3 : 4 ....(given)\\ \\ let \: a = 3x \\ b = 4x \\ \\ (6a - 3b) : (5a + 2b) \\ \\ = \frac{(6a - 3b)}{(5a + 2b)} \\ \\ = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\ \\ = \frac{18x- 12x}{15x+ 8x} \\ \\ = \frac{6x}{23x} \\ \\ = \frac{6}{23} \\ \\ (6a - 3b) : (5a + 2b) = 6 : 23$