Question
Present ages of 'X' and 'Y' are in ratio 7:8,
respectively. If twelve years hence from now, age of 'X' will be 15% less than that of 'Y', then find the ratio of present ages of 'X' and 'Z' given that 'Z' is 9 years older than 'X'.Solution
ATQ, Let the present ages of 'X' and 'Y' be '7x' years and '8x' years, respectively. So, (7x + 12) = (8x + 12) X 0.85 Or, 7x + 12 = 6.8x + 10.2 Or, 0.2x = 1.8 So, x = 9 So, present age of 'X' = 7x = 7 X 9 = 63 years And present age of 'Z' = 63 + 9 = 72 years So, required ratio = 63:72 = 7:8
A solid cylinder has total surface area of 1848 sq.cm. Curved surface area is 1/3rd of its total surface area. The volume of the cylinder is:
A rectangular sheet measuring 44 cm by 38 cm has a square with a side length of 3 cm removed from each of its corners. The altered sheet is then folded ...
In what ratio coffee at 255 Rs/kg should be mixed with the coffee at 310 Rs/kg so that after mixture its rate become 270 Rs/kg if the quantity of 1st ty...
Lateral surface area of a cube is 420 cm2 less than the lateral surface area of a cylinder. Height of cylinder is 2R cm and radius is R cm. I...
A maximum size sphere is cut from a hemisphere of radius r. Find the ratio of volume of hemisphere to sphere?
A rectangular ground is 90 metre long and 70 metre broad. If two 10 metre wide paths one parallel to the breadth and one parallel to the length, of the�...
Three metallic cubes whose sides are 15 cm, 20 cm and 25 cm respectively are melted and converted into a single cube. If there is no loss of metal in t...
The area of a square is 24 sq. cm more than the area of a rectangle of length 12 cm and breadth 10 cm. What will be the area of incircle of the square?
If the volume of a cylinder is 180π and the ratio of radius to its height is 6:5 then find the curved surface area of cylinder?
Find out the volume of a tetrahedron whose side is 6√2 cm³?