Question

if (3x+1): (5x+3) is the triplicate ratio 3:4, find the value of x

Answer 1

Heya!!

Here's your answer

_________________________


( 3x + 1 ) : ( 5x + 3 ) = 3 : 4

$\frac{(3x + 1)} {(5x + 3)} = \frac{3}{4} \\ \\ 3 \: (5x + 3) = 4 \: (3x + 1) \\ \\ 15x + 9 = 12x + 4 \\ \\ 15x - 12x = 4 - 9 \\ \\ 3x = - 5 \\ \\ x = - \frac{5}{3}$

The value of x is - 5/3

_______________________

Hope it helps you dear! :)

# Devil king

Answer 2

Answer:

x = 17/57

Step-by-step explanation:

Hi,

Given that (3x + 1) : (5x + 3) is the triplicate ratio of 3 : 4.

Triplicate Ratio of a : b is defined as a³ : b³.

Hence,

3x + 1/5x + 3 = 27/64

On cross multiplication, we get

64*(3x + 1) = 27*(5x + 3)

On simplification, we get

192x + 64 = 135x + 81

57x = 17

x = 17/57

Hence , value of x is 17/57.

Hope, it helps !