Advertisements
Advertisements
Question
If r2 =pq, show that p : q is the duplicate ratio of (p + r) : (q + r).
Solution
Given, r2 = pq
Duplicate ratio of ( p + r) : ( q + r) = (p + r)2 : (q + r)2
= (p2 + r2 + 2pr) : (q2 + r2 + 2qr)
= (p2 + pq + 2pr) : (q2 + pq + 2qr)
= p(p + q + 2r) : q(q + p + 2r)
= p : q
Thus, p : q is the duplicate ratio of ( p + r) : (q + r)
APPEARS IN
RELATED QUESTIONS
If 60% people in city like cricket, 30% like football, and the remaining like other games, then what percentage of the people like other games? If the total number of people is 50 lakh, find the exact number who like each type of game.
If m : n = 3 : 8, find the value of (3m+2n) : (5m+n)
Find the triplicate ratio of the following :
`2 sqrt 5 : 5 sqrt 2`
In a mixture of 126 kg of milk and water, milk and water are in ratio 5 : 2. How much water must be added to the mixture to make this ratio 3 : 2?
In the example below, find the proportion of the first number to the second.
24, 56
The ratio of the number of boys to the number of girls in a school of 560 pupils is 5 : 3. If 10 new boys are admitted, find how many new girls may be admitted so that the ratio of the number of boys to the number of girls may change to 3 : 2.
Write the following ratio in the simplest form:
48 min : 2 hours 40 min
20 g : 100 g = 1 metre : 500 cm
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?
Given below is a Mathematical term.
Find the ratio of consonants to vowels in the term.
