Divide 34 in to two parts in such a way that `(4/7)^(th) ` of one part is equal to `(2/5)^(th)` of the other

Divide 108 in two parts in the ratio 4: 5.

Divide 64 into two parts such that the sum of the cubes of two parts is minimum.

Divide 29 into two parts so that the sum of the squares of the parts is 425.

Divide Rs 351 into two parts such that one may be to the other as 2: 7.

Divide 184 into two parts such that one-third of one part may exceed one-seventh of the other part by 8.

Divide 184 into two parts such that one-third of one part may exceed one-seventh of the other part by 8.

Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are

Divide Rs1,870 into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are all equal.

Divide Rs. 15,600 into two parts such that the interest on one at 5 percent for 5 years may be equal to that on the other at 4""1/2 per cent for 6 years.

a. Divide ₹32,000 into two parts such that if one part is lent at 6% p.a. for 3 years and the other at 10% p.a. for 3 years, the total sum as interest is ₹6840 . b. Divide ₹84,000 into two parts such that if one part is lent at 5% p.a. for 4 years and the other at 8% p.a. for 5 years, the total sum as interest is ₹18,960 .