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
संबंधित प्रश्न
If 5x + 6y : 8x + 5y = 8 : 9, find x : y.
Find the duplicate ratio of the following :
`2/3 : 4/9`
If r2 = pq , show that p : q is the duplicate ratio of (p+r) : ( q+r)
If (p - x) : (q - x) be the duplicate ratio of p : q then show that: `1/"p" + 1/"q" = 1/"x"`
A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 84 kg?
Which ratio is greater:
`8/15` or `5/9`
If (x – 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
Three numbers are in the ratio `(1)/(2) : (1)/(3) : (1)/(4)` If the sum of their squares is 244, find the numbers.
Find the simplified form of the following ratio.
32 : 24
27 cm2 : 57 cm2 = 18 cm : 38 cm
