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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Let the number be x ;
Then the respective numbers formed by adding 5,15,35 are ;
(x+5),(x+15),(x+35)
According to the question :
(x+5)×(x+35) = (x+15)^2
x^2+35x+5x+175 = x^2+30x+225
40x + 175 = 30x+225
40x-30x = 225-175
10x = 50
x = 5
-----------------------------------
Hence the number is 5
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