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A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.
- a)3
- b)8
- c)4
- d)7
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A natural number, when increased by 12, equals 160 times its reciproc...
Let the number be x
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Then according question, x + 12 = 160 / x
x2 + 12x – 160 = 0
x2 + 20x – 8x – 160 = 0
(x + 20) (x – 8) = 0
x = -20, 8
Since the number is natural, so we consider only positive value.
Most Upvoted Answer
A natural number, when increased by 12, equals 160 times its reciproc...
Let x be the natural number.
When increased by 12 equals 12 + x
Its reciprocal 1 / 12 + x
x = 160 / 12 + x
x^2 + 12 x =160
x^2 + 12 x -160 = 0
[ x +20 ] [ x -8] =0
x = -20 or 8
Number : 8
When increased by 12 equals 12 + x
Its reciprocal 1 / 12 + x
x = 160 / 12 + x
x^2 + 12 x =160
x^2 + 12 x -160 = 0
[ x +20 ] [ x -8] =0
x = -20 or 8
Number : 8
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A natural number, when increased by 12, equals 160 times its reciprocal. Find the number.a)3b)8c)4d)7Correct answer is option 'B'. Can you explain this answer?
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