Divide 15 into three parts which are in A.P. and the sum of their squares is 83.

Divide 69 into three parts which are in A.P. and the product of the two smaller parts is 483.

Divide 216 into three parts which are in A.P. and the product of two smaller parts is 5040.

4. (a) Divide 20 into 4 parts which are in A.P. and such that the product of the first and fourth to the product of the second and third are in the ratio 2:3.

Divide 32 into four parts which are in A.P. such that the product of extremes is to the product of means is 7:15.

Divide 32 into four parts which are in A.P. such that the product of extremes is to the product of means is 7: 15.

The sum of three numbers in A.P. is 27 and the sum of their squares is 293. Find the numbers.

Find three numbers in A.P. whose sum is 9 and the sum of their squares is 35.

Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of means is 7:15.

Divide 32 into four parts which are in A.P. such that the ratio of the product of extremes to the product of means is 7:15.

Divide 96 into four parts which are in A.P. and the ratio between product of their means to product of their extremes is 15 : 7.