Advertisements
Advertisements
प्रश्न
If (x - 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
Advertisements
उत्तर
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.
APPEARS IN
संबंधित प्रश्न
If P : Q = `1/2 : 1/3` and Q : R = `1 1/2 : 1 1/3`, find P : R.
In a club has 360 members, 40 play carrom, 96 play table tennis, 144 play badminton, and remaining members play volley-ball. If no member plays two or more games, find the ratio of members who play:
(i) carrom to the number of those who play badminton.
(ii) badminton to the number of those who play table-tennis.
(iii) table-tennis to the number of those who play volley-ball.
(iv) volleyball to the number of those who play other games.
Mr. Gupta divides Rs 81000 among his three children Ashok, Mohit, and Geeta in such a way that Ashok gets four times what Mohit gets and Mohit gets 2.5 times what Geeta gets. Find the share of each of them.
The ratio of copper and zinc in an alloy is 9 : 8. If the weight of zinc, in the alloy, is 9.6 kg; find the weight of copper in the alloy.
Which of the following numbers are in continued proportion:
15, 45 and 48
Find the ratio of the first quantity to the second.
30 litres, 24 litres
If the angles of a triangle are in the ratio 2 : 3 : 4, find the angles.
Three numbers are in the ratio `(1)/(2) : (1)/(3) : (1)/(4)` If the sum of their squares is 244, find the numbers.
Out of 50 students in a class, 30 are boys. Find the ratio of number of boys to the total number of students
If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then the ratio of the distances travelled by them in one hour is ______.
