Divide 830 into two parts in such a way, that 30% of one part will be 4 more than 40% of the other.

If the angle theta be divided into two parts such that the tangent of one part is m times the tangent of the other, then prove that their difference phi is obtained fron the relation is sin phi=abs(((m-1))/((m+1)))sin theta

Divide 56 into two parts, so that thrice of the first part becomes 48 more than one third of the second part.

Divide 5 into two parts such that the product of the square of one and the cube of the other may be the greatest possible.

Divide the principal of Rs2186 into three parts in such a way that the amounts of each part are same at a rate of simple interest of 4% per annum, the period of time of the three parts being 1 year , 2 years and 3 years respectively. Also find the smallest part.

Divide Rs. 6305 into there parts in such a way that at the rate of compound interest of 5% per annum the amount of 1st part in 2 years, the amounts of 2nd part in 3 years and the amounts of 3rd part in 4 years are all equal.

Divide 24 into two parts such that their product is maximum.

Divide 24 into two parts such that their product is maximum.

Divide the principal of Rs2600 in two parts in such a way that the simple interest of the first part at a rate of 5% for 5 years and the simple interest of the second part at a rate of 4(1)/(2)% for 6 years are equal.

Divide unity into two parts such that the sum of their cubes is (7)/(16)