Advertisements
Advertisements
प्रश्न
If p + r = 2q and `(1)/q + (1)/s = (2)/r`, then prove that p : q = r : s.
Advertisements
उत्तर
`(1)/q + (1)/s = (2)/r`
⇒ `(s + q)/(qs) = (2)/r`
⇒ 2qs = r(s + q)
⇒ (p + r)s = r(s + q)
⇒ ps + rs = rs + rq
⇒ ps = rq
⇒ `p/q = r/s`.
Hence proved.
संबंधित प्रश्न
What quantity must be subtracted from each term of the ratio 39 : 89 to make it equal to 2 : 5 ?
A bag contains Rs 1800 in the form of Rs 1 , Rs 2 and Rs 5 ooins. The ratio of the number of the respective coins is 3: 7: 11. Find the total number of ooi ns in the bag.
Make set of all possible proportions from the numbers 15, 18, 35 and 42.
Shubham’s age today is 12 years and his father’s is 42 years. Shubham’s mother is younger than his father by 6 years. Find the ratio of Shubham’s mother’s age today to his father’s age today.
Shubham’s age today is 12 years and his father’s is 42 years. Shubham’s mother is younger than his father by 6 years. Find the ratio of Shubham’s age to his mother’s age when Shubham was 10 years old.
If `x/(b + c - a) = y/(c + a - b) = z/(a + b - c)` prove that each ratio’s equal to `(x + y + z)/(a + b + c)`.
The two terms of a ratio can be in two different units.
Ratio of 5 paise to 25 paise is the same as the ratio of 20 paise to ______.
A car can travel 240 km in 15 litres of petrol. How much distance will it travel in 25 litres of petrol?
Find the ratio of the following:
33 km to 121 km
