A natural number, when increased by 10, equals 200 times its reciprocal. Find the number
Answers
Answered by
3
Answer:
10
Step-by-step explanation:
Let the positive number be N.
According to the question,
N + 10 = 200 / N
⇒ N2 + 10N = 200
⇒ N2 +10N - 200 =0
⇒ (N - 10)(N + 20) = 0
∴ N = 10 & N= -20
But N not equal to -20 since N is a positive number
So, the required number is 10
it helps you
Answered by
10
Answer:
♧ ᴀɴsᴡᴇʀ♧
Let the Natural number be X.
According to the questions
X+10 = 200/X
=> X² + 10X = 200
=> X² + 10X - 200 = 0
=> (X-10) (X+20) = 0
Therefore X = 10 & X = -20
but, X not equal to -20 since, X is a natural number.
so, the required number is 10 (Answer).
♡ ᴍɪss_ɪɴɴᴏᴄᴇɴᴛ♡
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