Advertisements
Advertisements
Question
If `(m + n)/(m + 3n) = 2/3`, find : `(2n^2)/(3m^2 + mn)`.
Advertisements
Solution
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
RELATED QUESTIONS
Find the compounded ratio of the following:
(a2 - b2 ): (a2 + b2) and (a4 - b4 ): (a+ b)4
Find the ratio between 3.5 m, 475 cm and 2.8 m
If (x - 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
If `(2"y"+5"x")/(3"y"-5"x")=2 1/2`, find y, if x = 33
If (x – 9) : (3x + 6) is the duplicate ratio of 4 : 9, find the value of x.
In an army camp, there were provisions for 425 men for 30 days. How long did the provisions last for 375 men?
A hostel is to be built for schoolgoing girls. Two toilets are to be built for every 15 girls. If 75 girls will be living in the hostel, how many toilets will be required in this proportion?
Ratio of 75 paise to ₹ 2 = _____________
Find the simplified form of the following ratio.
12 : 27
A line segment 56 cm long is to be divided into two parts in the ratio of 2 : 5. Find the length of each part.
