Advertisements
Advertisements
Question
If (3x + 1) : (5x + 3) is the triplicate ratio of 3 : 4, find the value of x.
Advertisements
Solution
If (3x + 1) : (5x + 3) is the triplicate ratio of 3 : 4
then `(3x + 1)/(5x + 3) = (3)^2/(4)^3 = (27)/(64)`
⇒ 64(3x + 1) = 27(5x + 3)
⇒ 192x + 64 = 135x + 81
⇒ 192x – 135x = 81 – 64
⇒ 57x = 17
⇒ x = `(17)/(57)`
Hence x = `(17)/(57)`.
APPEARS IN
RELATED QUESTIONS
Find the ratio of 5 m to 10 km.
What quantity must be added to each term of the ratio 19 : 51 to make it equal to 3 : 7 ?
Find the value of x, when 2.5 : 4 = x : 7.5.
In the example below, find the ratio of the first number to the second.
24, 56
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 mother’s age today to his father’s age today.
If a bus covers 195 km in 3 hours and a train covers 300 km in 4 hours, then the ratio of their speeds is
Divide Rs 1400 among A. B and C in the ratio 2 : 3 : 5.
A hostel is to be built for schoolgoing girls. Two toilets are to be built for every 15 girls. If 75 girls will be living in the hostel, how many toilets will be required in this proportion?
The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is _______________
A ratio expressed in lowest form has no common factor other than ______ in its terms.
