Question

If (3x-9):(5x-4) is the triplicate ratio of 3:4,find the value of x.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

To Find:

the value of x

Given:

(3x - 9 ) : (5x + 4) is the triplicate ratio of 3 : 4

Solution:

triplicate ratio of 3 : 4 = 27 : 64

Therefore,

(3x - 9) : (5x + 4) = 27 : 64

$\frac{3x- 9}{5x+4} = \frac{27}{64}$

$\frac{3(x- 3) }{5x+4} = \frac{27}{64}$

$\frac{x- 3 }{5x+4} = \frac{27}{64 * 3}$

$\frac{x- 3 }{5x+4} = \frac{9}{64}$

Cross multiplying:

64 × (x - 3) = 9 × (5x + 4)

64x - 192 = 45x + 36

64x - 45x =  192 + 36

19x = 228

x = 12

The value of x is 12.