9,000 were divided equally among a certain no of persons . had there been 20 more person each would have got rupees 160 . find the original no of persons​

Answers

Answer 1

Answer:

let the number of persons be " x "

and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.

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let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,

let us suppose each person gets an amount of " r " rupees.

then ,

[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]

_____________________________________

According to Question ,

hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.

hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -

[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]

lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]

[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]

on dividing the complete equation by (- 160)

[tex]x { }^{2} + 20x - 1125 = 0[/tex]

now , use the method of splitting the middle term so that we get the value of x.

[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]

since number of persons can't be negative. therefore ,

number of persons = x = 25

_____________________________

_____________________________

hope helpful :D


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Answer: 42.0

Step-by-step explanation:

Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.

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The Halls credit score is 2186.

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his equifax score =736

his trans union score =736

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Hals credit score = sum of all score.

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Step-by-step explanation:

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Answers

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Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  [tex]\pi[/tex]r2

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Answers

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Answers

Answer:

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Step-by-step explanation:

Perimeter of a rectangle = 2 × width + 2 × length

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Given:

perimeter = 40m

⇒ 40 = 2(width + length)

⇒ width + length = 20 m

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Answers

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Answers

Answer:

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Answers

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Answers

Answer:

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__

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__

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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