A natural number when increased b 12eauais to 160 times of icsreciprocal find the number
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Answer:
Step-by-step explanation:
Let the natural number be x
Therefore according to question the following equation can be formed:
x+12=
x
160
⇒x
2
+12x=160.
⇒x
2
+12x−160=0
⇒x
2
+20x−8x−160=0
⇒x(x+20)−8(x+20)=0
⇒(x+20)(x−8)=0
∴(x+20)=0or(x−8)=0
x=−20orx=8
As x=−20 is not a natural number therefore value of x is 8
So, x=8
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