Find three consecutive positive integers whose product is equal to sixteen times their sum.

4

(a)

Solve for x \({x-2\over x-3}+{x-4\over x-5}={10\over 3}, x\ne3,5\)

4

(a)

The sum of the squares of two consecutive odd numbers is 394. Find the numbers.

4

(a)

A girl is twice as old as her sister. Four years hence, the product of their ages (in years) will be 160. Find their present ages.

4

(a)

Solve for x : \(({{4x-3}\over2x+1})-10({2x+1\over4x-3})=3; x\ne{-1\over2};x\ne{3\over4}\)

4

(a)

Solve for x: \(2({x+2\over2x-3})-9({2x-3\over x+2})=3\); given that \(x\ne -2, x\ne{3\over2}\)

4

(a)

The sides of right-angled triangle containing the right angle are 3(x + 1)cm and (2x - 1)cm. If the area of the triangle be \(30 \ cm^{2}\)  , find the sides of the triangle.

4

(a)

The hypotenuse of a right triangle is \(3\sqrt {5} \ \ cm\).  If the smaller side is tripled and the larger side is doubled, the new hypotenuse will be 15 cm, find the length of each side.

4

(a)

Two squares have sides x cm and (x + 4) cm. The sum of their areas is 656 sq.cm.Express this as algebraic equation in x and slove the equation to find the sides of the square.

4

(a)

If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours does the second pipe take to fill the reservior?

4

(a)