Advertisements
Advertisements
Question
If (3x + 1) : (5x + 3) is the triplicate ratio of 3 : 4, find the value of x.
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
The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if:
- the original fare is Rs. 245;
- the increased fare is Rs. 207.
What quantity must be added to each term of the ratio x : y so that it may become equal to c : d?
Find the sub-triplicate ratio of the following :
`(64 "m"^3)/(729 "n"^3) : (216 "m"^3)/(27"n"^3)`
Is the ratio of 15 kg and 35 kg same as the ratio of 6 years and 14 years?
Find the fourth term of the proportion whose first, second, and third terms are 18, 27, and 32 respectively.
If x, y, and z are in continued proportion, then which of the following is true:
x : x = z : y
The ratio of zinc and copper in an alloy is 7 : 9. If the weight of copper in the alloy is 12.6 kg, find the weight of zinc in it.
In a school excursion, 6 teachers and 12 students from 6th standard and 9 teachers and 27 students from 7th standard, 4 teachers and 16 students from 8th standard took part. Which class has the least teacher to student ratio?
A line segment 56 cm long is to be divided into two parts in the ratio of 2:5. Find the length of each part.
A car can travel 240 km in 15 litres of petrol. How much distance will it travel in 25 litres of petrol?
