Advertisements
Advertisements
Question
If (x + 2y) : (2x – y) is equal to the duplicate ratio of 3 : 2, find x : y.
Advertisements
Solution
If (x + 2y) : (2x – y) is equal to the duplicate ratio of 3 : 2
then `(x + 2y)/(2x - y) - (3)^2/(2)^2 = (9)/(4)`
⇒ 9(2x - y) = 4(x + 2y)
⇒ 18x - 9x = 4x + 8y
⇒ 18x - 4x = 8y + 9y
⇒ 14x - 17y
⇒ `x/y = (17)/(14)`
∴ x : y = 17 : 14.
APPEARS IN
RELATED QUESTIONS
If 3x – 2y – 7z = 0 and 2x + 3y – 5z = 0 find x : y : z.
A plot of land, 600 sq m in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.
Find the fourth proportional of `1/3, 2/5` and 8.4.
10 kg of sugar cost ₹ 350. If x kg sugar of the same kind costs ₹ 175, find the value of x
Find the ratio of the first quantity to the second.
1 litre, 250 ml
A woman reduces her weight in the ratio 7 : 5. What does her weight become if originally it was 91 kg.
A 35-cm line segment is divided into two parts in the ratio 4 : 3. Find the length of each part.
Choose the correct answer from the given options :
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 288, then the smaller number is
Find the ratio of 90 cm to 1.5 m.
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?
