Advertisements
Advertisements
प्रश्न
If a : b = 5 : 3, show that (5a + 8b) : (6a – 7b) = 49 : 9.
Advertisements
उत्तर
Given a : b = 5 : 3
⇒ `a/b = (5)/(3)`
∴ `(5a + 8b)/(6a - 7b) = (5(a/b) +8)/(6(a/b)-7)`
Numberator and Denominator is divided by 'b'.
= `(5 xx 5/3 + 8)/(6 xx 5/3 -7)`
= `(49)/(9)`
= 49 : 9.
Hence proved.
संबंधित प्रश्न
Find the ratio of 5 m to 10 km.
Find duplicate ratio of 3 : 4
Find the ratio of the following in the simplest fcrm:
a4 + b4 and a3 - b3
In a class, the ratio of boys to the girls is 7:8. What part of the whole class are girls?
Two poles of different heights are standing vertically on a horizontal field. At a particular time, the ratio between the lengths of their shadows is 2 :3. If the height of the smaller pole is 7.5 m, find the height of the other pole.
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 duplicate ratio of 2 : 3
In a mixture of 45 litres, the ratio of milk to water is 13 : 2. How much water must be added to this mixture to make the ratio of milk to water as 3 : 1 ?
The number of milk teeth in human beings is 20 and the number of permanent teeth is 32. Find the ratio of the number of milk teeth to the number of permanent teeth.
A metal pipe 3 metre long was found to weigh 7.6 kg. What would be the weight of the same kind of 7.8 m long pipe?
