Advertisements
Advertisements
प्रश्न
If (3x – 4y) : (2x – 3y) = (5x – 6y) : (4x – 5y), find x : y.
Advertisements
उत्तर
(3x – 4y) : (2x – 3y) = (5x – 6y) : (4x – 5y)
`(3x - 4y)/(2x - 3y) = (5x - 6y)/(4x - 5y)`
Applying componendo and dividendo,
`(3x -4y + 2x - 3y)/(3x - 4y - 2x + 3y) = (5x - 6y + 4x - 5y)/(5x -6y - 4x + 5y)`
`(5x - 7y)/(x - y) = (9x - 11y)/(x - y)`
5x – 7y = 9x – 11y
11y – 7y = 9x – 5x
4y = 4x
`x/y = 1/1`
x : y = 1 : 1
APPEARS IN
संबंधित प्रश्न
A field is 80 m long and 60 m wide. Find the ratio of its width to its length.
Reduce the following ratio to their lowest term:
1 hour 20 min : 2 hours
Express the given ratio in its simplest form: 3 hours : 1 day
If `1 1/4 : 2 1/3 = "p" : "q"` and q : r = `4 1/2 : 5 1/4`; find p : r.
Rohit goes to school by car at 60 km per hour and Manoj goes to school by scooty at 40 km per hour. If they both live in the same locality, find the ratio between the time taken by Rohit and Manoj to reach school.
If x, y, and z are in continued proportion, then which of the following is true:
x : x = z : y
Present age of father is 42 years and that of his son is 14 years. Find the ratio of age of the father to the age of son, when son was 12 years old.
The ratio of 1 l to 50 ml is ______________
The ratio of 8 books to 20 books is ______.
A ratio is a relationship between two quantities of the same kind obtained by:
