Advertisements
Advertisements
प्रश्न
Two numbers are in the ratio of 3: 5. If 8 is added to each number, the ratio becomes 2 : 3. Find the numbers.
उत्तर
Let the number be 3x and 5x
3x + 8 : 5x + 8 = 2 : 3
`(3x + 8)/(5x + 8) = (2)/(3)`
⇒ 2(5x + 8) = 3(3x + 8)
⇒ 10x + 16 = 9x + 24
⇒ 10x - 9x = 24 - 16
⇒ x = 8
∴ The number are 24 and 40.
APPEARS IN
संबंधित प्रश्न
The ratio between the number of boys and the number of girls in a class is 4:3 . If there were 20 more boys and 12 less girls, the ratio would have been 2:1. Find the total number of students in
the class.
Two numbers are in the ratio 5:7. If 3 is subtracted from each of them, the ratio between them becomes 2:3. Find the numbers.
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.
Express the following ratios in its simplest form :
5 kg: 800 gm
State true or false :
A ratio equivalent to 7 : 9 is 27 : 21.
The angles of a triangle are in the ratio 3 : 7 : 8. Find the greatest and the smallest angles.
The sides of a triangle are in the ratio 3 : 2 : 4. If the perimeter of the triangle is 27 cm, find the length of each side.
Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumagal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?
In figure, what is the ratio of the areas of
(a) shaded portion I to shaded portion II?
(b) shaded portion II to shaded portion III?
(c) shaded portions I and II taken together and shaded portion III?
Express 150% as a ratio in the lowest form.
