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
72% of 25 students are interested in mathematics. How many are not interested in mathematics?
Find the compound ratio of :
3 : 5 and 8 : 15
Which of the following ratio is greater ?
5 : 8 and 7 : 10
If (3x-4) : (2x+5) is the duplicate ratio of 3 : 4 , find x.
Express the given ratio in its simplest form: `6 1/4 : 12 1/2`
A bag contains ₹ 1,600 in the form of ₹10 and ₹20 notes. If the ratio between the numbers of ₹10 and ₹20 notes is 2 : 3; find the total number of notes in all.
Find the third proportional of `1/7 "and" 3/14`
Find the second term of the proportion whose first, third, and fourth terms are 9, 8, and 24 respectively.
If `(3x + 5y)/(3x - 5y) = (7)/(3)` , Find x : y
Write the following ratio in the simplest form:
4 kg : 2 kg 500 g
