split 207 into 3 parts such that these are in ap and product of the sm

1.	split 207 into 3 parts such that these are in ap and product of the 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.

Discussion