1.

Divide 30 into five parts sin ap such that first and last part in ratio 2:3

Answer» The answer is

24/5, 27/5, 6 , 33/5,  36/5

Assuming a-2d, a-d, a,a+d, a+2d as 5 tera of AP.

Adding all we get 5a=30

a= 6

Using (a-2d)/(a+2d)= 2/3

Solving d= 3/5

Putting in numbers above we get answer.

Check

All five sum to 30

Ratio of first ald last term = 24/36=2/3


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