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

Split 207 into three parts such that these are in AP and the product o

1.	Split 207 into three parts such that these are in AP and the product of two smaller parts is 4623.
Answer» Let the four parts be (a - d), a and (a + d).{tex}\\therefore{/tex}\xa0a - d + a + a + d = 207{tex}\\Rightarrow{/tex}\xa03a = 207{tex}\\Rightarrow{/tex}\xa0a = 69According to given information,{tex}\\Rightarrow ( a - d ) \\times a = 4623{/tex}{tex}\\Rightarrow ( 69 - d ) \\times 69 = 4623{/tex}{tex}\\Rightarrow{/tex}\xa069 - d = 67{tex}\\Rightarrow{/tex} d = 2Thus, the three parts are a - d, a, a+ d i.e., 67, 69, 71.