find a number such that if 5,15,35 are added to it,the product of the first and third results may be equal to the square of the second
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Answer:
Let the number be x.
According to the given condition:
» (x + 5) (x + 35) = (x + 15)²
» x² + 40x + 175 = x² + 30x + 225
» 10x = 50
» x = 5
Therefore, the required number is 5.
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