Question
A man is 6 times as old as his daughter. After 4 years,
he will be 4 times as old as she will be. After how many more years will the man be 3 times as old as his daughter?Solution
Let the daughter's present age be x years. Then the man's present age is 6x years. After 4 years, the man's age will be 6x + 4, and the daughter's age will be x + 4. Given: 6x + 4 = 4(x + 4). 6x + 4 = 4x + 16. 2x = 12 → x = 6 years. So, the man's current age is 6 * 6 = 36 years. Let y years later, the man’s age will be 3 times the daughter’s age. 36 + y = 3(6 + y). 36 + y = 18 + 3y. 2y = 18 → y = 9 years.
Due to economic surge the price of eggs suddenly reduced by 40%. This enabled a woman to buy 64 more for $30. Then the reduced price per dozen is :
In a rectangular floor of length and breadth of 16 metres and 7 metres, respectively, square tiles each of 4 metre edge length are to be laid. If the co...
A sphere has a radius that is one-third of the radius of a circle whose circumference is 216 cm. Calculate the volume of the sphere. (Use π = 3)
The volume and height of a cylinder are 7436 cm3 and 14 cm. Find the radius of the cylinder.
Calculate the perimeter of a rectangle, given that a circle with an area of 308 cm² has a radius that matches the diagonal of a square. The ratio betwe...
A rectangular park with length and breadth of 13 m and 19 m, is surrounded by a path of 3 m wide. Find the area of the path.
An agricultural field is in the form of rectangle having length X1 meters and breadth X2 meters. (X1 and X2 are variables). If X1 + X2 = 40 meters, then...
How many spherical bullets can be made out of a lead cylinder 45 cm high and 27 cm radius, each bullet being 3 cm in diameter?
The outer radius of a hollow metallic spherical ball is 15 cm while the thickness of the metal used to make it is 12 cm. Find volume of the metal used i...
