Question
Two equal vessels A and B contain 70% of milk and 60% of
milk respectively and the remaining sugar. In which 30 kg of mixture is taken out from vessel A and replaced into vessel B. Find the initial quantity of vessel B if the final ratio of milk and sugar in vessel B is 9:5.Solution
Vessel A milk and sugar ratio = 7:3 Vessel B milk and sugar ratio = 3:2 Given, (3x+21)/(2x+9) =9/5 15x+105=18x+81 3x=24 x=8 Initial quantity = x*5=40 litres
Simplify:
6x + 8y - [(12x + 6y) - (4x + 3y) + 2y] - 4xIf 9x2 + 16y2 = 24xy, then find the ratio of ‘x’ and ‘y’, respectively.
- Suppose [a + (1/16a)] = 3, then the value of [16a³ + (1/256a³)] is:
If, 6x + y = 20, and 2xy = 32, and 6x > y, then find the value of 216x³ – y³.
If x + 1/x = 2, find x⁷ + 1/x⁷.
(x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then find the value of 4x - 3y + z.
Three cubes of metal whose edges are 3cm, 4cm and 5cm. respectively are melted and a single cube is formed. What is the length of the edge of the newly ...
A number is increased by 20%, and the resulting number is decreased by 20%. If the initial number is ₹x, the final number is ₹2880. What is the valu...
