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Question
Suppose three parts of 207 are (a − d), a , (a + d) such that , (a + d) >a > (a − d).
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Solution
\[a - d + a + a + d = 207\]
\[ \Rightarrow 3a = 207\]
\[ \Rightarrow a = 69\]
\[Now, \left( a - d \right) \times a = 4623\]
\[ \Rightarrow 69\left( 69 - d \right) = 4623\]
\[ \Rightarrow \left( 69 - d \right) = 67\]
\[ \Rightarrow d = 2\]
\[\text{ Therefore, the three required parts are 67, 69 and 71} .\]
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