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.
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 sub-duplicate ratio of the following :
c
Which of the following ratio is greater ?
`5/2 : 15/4` and `5/3 : 11/6`
If 3x – 2y – 7z = 0 and 2x + 3y – 5z = 0 find x : y : z.
If `a/(b + c) = b/(c + a) = c/(a + b)`, show that each ratio is equal to `(1)/(2) or -1`.
Find the fourth proportional of 3, 12 and 4
If a : b = 1.5 : 3.5 and b : c = 5 : 6, find a : c.
In the example below, find the proportion of the first number to the second.
35, 65
Find the triplicate ratio of 13 : 23
If 3A = 4B = 6C, find A : B : C
From your school diary, write the ratio of the number of holidays to the number of working days in the current academic year
