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

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

Sum

We have,

`(3x - 9)/(5x + 4) = 3^3/4^3`

`=> (3x - 9)/(5x + 4) = 27/64`

`=> (3(x - 3))/(5x + 4) = 27/64`

`=>(x - 3)/(5x + 4)= 9/64`

`=>` 64x – 192 = 45x + 36

`=>` 19x = 228

`=>` x = 12

shaalaa.com

Is there an error in this question or solution?

Convert the following ratio to a percentage.

3 : 4

Convert the following ratio to a percentage.

2 : 3

Find `x/y`; when x² + 6y² = 5xy.

Find the reciprocal ratio of 3 : 5

Find the compound ratio of :
3 : 5 and 8 : 15

In the example below, find the ratio of the first number to the second.

35, 65

Find the duplicate ratio of 5a : 6b

Find the ratio of:

90 cm to 1.05 m

Of the 288 persons working in a company, 112 are men and the remaining are women. Find the ratio of the number of men to that of women.

Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of father to the age of son when father was 30 years old.