1.

The additive inverse of a number divided by 12 is same as one less than 3 times its reciprocal. Find the number??

Answer»

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Let the number be x.

And it's additive inverse will be -x

Now dividing it by 12 that is -x/12.

Now one less than three times

it RECIPROCAL is 3/x -1. As they both are equal X

/12 = 1 - 3/x. X/12 = x -3/x. X^2 = 12x - 36. X^2 - 12x + 36 = 0.

Therefore ( x -6 )^2 = 0. And hence x - 6 = 0. And x = 0

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