Advertisements
Advertisements
Question
If (x – 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
Advertisements
Solution
`(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
RELATED QUESTIONS
Express the following ratios in its simplest form :
48: 54
Express the following ratios in its simplest form :
5 kg: 800 gm
Find the ratio between 3.5 m, 475 cm and 2.8 m
Which of the following numbers are in continued proportion:
3, 6 and 15
Shubham’s age today is 12 years and his father’s is 42 years. Shubham’s mother is younger than his father by 6 years. Find the ratio of Shubham’s age today to his mother’s age today.
There are ‘b’ boys and ‘g’ girls in a class. The ratio of the number of boys to the total number of students in the class is ______.
5 kg : 7.5 kg = Rs 7.50 : Rs 5
In an election, the votes cast for two of the candidates were in the ratio 5 : 7. If the successful candidate received 20734 votes, how many votes did his opponent receive?
Find the ratio of the following:
55 paise to ₹ 1
Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.
