Advertisements
Advertisements
प्रश्न
If `(m + n)/(m + 3n) = 2/3`, find : `(2n^2)/(3m^2 + mn)`.
Advertisements
उत्तर
Given: `(m + n)/(m + 3n) = 2/3`
`\implies` 3m + 3n = 2m + 6n
`\implies` 3m – 2m = 6n – 3n
`\implies` m = 3n
Now `(2n^2)/(3m^2 + mn)`
= `(2n^2)/(3(3n)^2 + 3n xx n)`
= `(2n^2)/(27n^2 + 3n^2)`
= `(2n^2)/(30n^2)`
= `1/15`
APPEARS IN
संबंधित प्रश्न
The hypotenuse of a right angled triangle is 3`sqrt(5)`. If the smaller side is tripled and the larger side is doubled, the new hypotenuse will be 15 cm. Find the length of each side.
Find the following ratio in the simplest form:
48 minutes to 1 hour
Express the following ratio in the simplest form:
480 : 384
Show that 48, 60, 75 are in continued proportion.
If `x/a = y/b = z/c`, prove that `(3x^3 - 5y^3 + 4z^3)/(3a^3 - 5b^3 + 4c^3) = ((3x - 5y + 4z)/(3a - 5b + 4c))^3`.
Ratio of ₹ 3 to ₹ 5 = ______________
Akilan walks 10 km in an hour while Selvi walks 6 km in an hour. Find the simplest ratio of the distance covered by Akilan to that of Selvi.
Which ratio is larger 10 : 21 or 21 : 93?
Of the 288 persons working in a company, 112 are men and the remaining are women. Find the ratio of the number of men to the total number of persons.
Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining opted table tennis. If a student can opt only one game, find the ratio of number of students who opted basketball to the number of students who opted table tennis.
