Advertisements
Advertisements
Question
If (x - 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
Advertisements
Solution
As given (x - 9) : (3x + 6) is duplicate ratio of 4 : 9.
i.e., `(x - 9)/(3x + 6) = (4/9)^2`
`(x - 9)/(3x + 6) = (16)/(81)`
⇒ 81(x - 9) = 16(3x + 6)
81x - 729 = 48x + 96
81x - 48x = 96 + 729
33x = 825
x = `(825)/(33)`
= 25
Thus required value of x is 25.
RELATED QUESTIONS
If a : b = 3 : 8, find the value of `(4a + 3b)/(6a - b)`.
Find triplicate ratio of 1 : 3
If the ratio between 8 and 11 is the same as the ratio of 2x - y to x + 2y, find the value of `(7"x")/(9"y")`
Express the following ratios in its simplest form :
`3 1/2 : 7`
The ratio of the length and the width of a school ground is 5 : 2. Find the length, if the width is 40 metres.
The ratio between 7 and 5 is same as the ratio between ₹ x and ₹ 20.50; find the value of x.
The costs of the two articles are in the ratio 7 : 4. If the cost of the first article is Rs. 2,800; find the cost of the second article.
Find the reciprocal ratio of `(1)/(9) : 2`
Akilan walks 10 km in an hour while Selvi walks 6 km in an hour. Find the simplest ratio of the distance covered by Akilan to that of Selvi.
In a floral design made from tiles dimensions 40 cm by 60 cm (See figure), find the ratios of the perimeter of shaded portion to the perimeter of the whole design.
