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
By increasing the cost of entry ticket to a fair in the ratio 10 : 13, the number of visitors to the fair has decreased in the ratio 6 : 5. In what ratio has the total collection increased or decreased?
If p + r = 2q and `(1)/q + (1)/s = (2)/r`, then prove that p : q = r : s.
If A : B = 2 : 3, B : C = 4 : 5 and C : D = 6 : 7, find A : D
If 3A = 4B = 6C, find A : B : C
The ratio of income to savings of a family is 11 : 2. Find the expenditure if the savings is Rs 1520.
If the cost of 30 packets of 8 pencils each is Rs 600, what is the cost of 25 packets of 12 pencils each?
Out of 50 students in a class, 30 are boys. Find the ratio of number of girls to the total number of students
0.2 : 5 = 2 : 0.5
The ratio 5 : 4 is different from the ratio 4 : 5.
In the following figure, division represents 1 cm:
Express numerically the ratios of the following distances:
AG : AD
