Split 207 into three parts such that these are in A.P. and the product of the two smaller parts is 4623.

Answer

The required three parts of 207 are 67, 69 and 71.

Explanation

Let the three parts 207, which are in A.P. be `a- d`, `a` and `a + d`.
`thereforen=8` …(Given)
`therefore3a=207`
`thereforea=(207)/(3)`
`thereforea=69` ...(1)
The product of `(a - d)` and a is `4623` ….(Given)
`therefore(a-d)xxa=4623`
`therefore(69-d)xx69=4623`
`69-d=(4623)/(69)" "therefore69-d=67`
`therefore69-67=d`i.e. `d=2` ...(2)
Now, `a-d= 69-2=67,a=69and a+d=69+2=71`.