split 207 into three parts such that these parts are in ap and the product of the two smaller parts is 4623
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7
Let the numbers be (a-d), (a) & (a+d).
So, (a-d) +a+(a+d) =207
=>a-d+a+a+d=207
=>3a=207
=>a=207/3
=69
So, it is given that the product of two smaller parts is4623.
So, (a-d) a=4623
=>a^2 -ad=4623
=>(69)^2 - 69d=4623
=>4761-69d=4623
=>4761-4623=69d
=>d=138/69
=2
So the numbers are:
a-d=69-2=67
a=69
a+d=69+2=71
So, (a-d) +a+(a+d) =207
=>a-d+a+a+d=207
=>3a=207
=>a=207/3
=69
So, it is given that the product of two smaller parts is4623.
So, (a-d) a=4623
=>a^2 -ad=4623
=>(69)^2 - 69d=4623
=>4761-69d=4623
=>4761-4623=69d
=>d=138/69
=2
So the numbers are:
a-d=69-2=67
a=69
a+d=69+2=71
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