Advertisements
Advertisements
प्रश्न
If (x – 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
Advertisements
उत्तर
`(x - 9)/(3x + 6) = (4/9)^2`
⇒ `(x - 6)/(3x + 6) = (16)/(81)`
⇒ 81x – 729 = 48x + 96
⇒ 81x – 48x = 96 + 729
⇒ 33x = 825
⇒ x = `(825)/(33)`
= 25.
APPEARS IN
संबंधित प्रश्न
If (x - 9) : (3x + 6) is the duplicate ratio of 4: 9, find the value of x.
Find the compounded ratio of the following:
(a2 - b2 ): (a2 + b2) and (a4 - b4 ): (a+ b)4
Two numbers are in the ratio 5 : 7 and the difference of their squares is 600. Find the numbers.
If x = `"pab"/("a + b")`, then prove that `("x + pa")/("x - pa") + ("x + pb")/("x - pb") = (2("a"^2 - "b"^2))/"ab"`
Two numbers are in the ratio of 3: 5. If 8 is added to each number, the ratio becomes 2 : 3. Find the numbers.
The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹ 45,000 more than the refrigerator, find the price of the refrigerator.
The ratio of the number of girls to the number of boys in a school is 2 : 5. If the number of boys is 225; find:
(i) the number of girls in the school.
(ii) the number of students in the school.
From the given pairs, find which ratio is larger:
(5 : 12) or (17 : 30)
The ratio of the area of the shaded portion to that of the whole figure is ______.
A typist has to type a manuscript of 40 pages. She has typed 30 pages of the manuscript. What is the ratio of the number of pages typed to the number of pages left?
