Advertisements
Advertisements
प्रश्न
Find two numbers in the ratio of 8 : 7 such that when each is decreased by , they are in the ratio 11 : 9.
Advertisements
उत्तर
The ratio is 8 : 7
Let the numbers be 8x and 7x,
According to condition,
`(8x - 25/2)/(7x - 25/2) = (11)/(9)`
⇒ `(16x - 25/2)/(14x - 25/2) = (11)/(9)`
⇒ `((16x - 25) xx 2)/(2(14x - 25)) = (11)/(9)`
⇒ 154x – 275 = 144x – 225
⇒ 154x – 144x = 275 – 225
⇒ 10x = 50
∴ x = `(50)/(10)` = 5
∴ Numbers are 8x = 8 x 5 = 40
and 7x = 7 x 5 = 35.
APPEARS IN
संबंधित प्रश्न
Find the duplicate ratio of the following :
`3 sqrt (2"a") : 2 sqrt (3"a")`
If the ratio between 8 and 11 is the same as the ratio of 2x - y to x + 2y, find the value of `(7"x")/(9"y")`
If `x/a = y/b = z/c` show that: `x^3/a^3 + y^3/b^3 + z^3/c^3 = (3xyz)/(abc)`.
If x and y be unequal and x: y is the duplicate ratio of (x + z) and (y + z) prove that z is mean proportional between x and y.
In a club has 360 members, 40 play carrom, 96 play table tennis, 144 play badminton, and remaining members play volley-ball. If no member plays two or more games, find the ratio of members who play:
(i) carrom to the number of those who play badminton.
(ii) badminton to the number of those who play table-tennis.
(iii) table-tennis to the number of those who play volley-ball.
(iv) volleyball to the number of those who play other games.
Find the second term of the proportion whose first, third, and fourth terms are 9, 8, and 24 respectively.
In the example below, find the ratio of the first number to the second.
24, 56
If (x – 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
The ratio 5 : 4 is different from the ratio 4 : 5.
A carpenter had a board which measured 3 m × 2 m. She cut out a rectangular piece of 250 cm × 90 cm. What is the ratio of the area of cut out piece and the remaining piece?
