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Raavi Tiwari
@raavi-tiwari
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Joined: May 7, 2021
Last seen: Jun 14, 2021
Topics: 0 / Replies: 2064
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Answer to: Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

Let us consider, Speed of Ritu in still water = x km/hr Speed of Stream = y km/hr Now, speed of Ritu during, Downstream = x + y km/h Upstrea...

5 years ago
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Answer to: Solve the following pairs of equations by reducing them to a pair of linear equations: 1/(3x+y) + 1/(3x-y) = 3/4 1/2(3x+y) – 1/2(3x-y) = -1/8

Substituting 1/(3x+y) = m and 1/(3x-y) = n in the given equations, we get, m + n = 3/4 …………….…… (1) m/2 – n/2 = -1/8 m – n = -1/4 …………..…(2) ...

5 years ago
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Answer to: Solve the following pairs of equations by reducing them to a pair of linear equations: 10/(x+y) + 2/(x-y) = 4 15/(x+y) – 5/(x-y) = -2

Substituting 1/x+y = m and 1/x-y = n in the given equations, we get, 10m + 2n = 4 => 10m + 2n – 4 = 0 ………………..…..(i) 15m – 5n = -2...

5 years ago
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Answer to: Solve the following pairs of equations by reducing them to a pair of linear equations: 6x + 3y = 6xy 2x + 4y = 5xy

6x + 3y = 6xy 6/y + 3/x = 6 Let 1/x = m and 1/y = n => 6n +3m = 6 => 3m + 6n-6 = 0 …………………….(i) 2x + 4y = 5xy => 2/y + 4/x = 5 ...

5 years ago
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Answer to: Solve the following pairs of equations by reducing them to a pair of linear equations: 5/(x-1) + 1/(y-2) = 2 6/(x-1) – 3/(y-2) = 1

(7x-2y)/ xy = 5 7/y – 2/x = 5 …………………..(i) (8x + 7y)/xy = 15 8/y + 7/x = 15 ………………(ii) Substituting 1/x = m in the given equation we get, – ...

5 years ago
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Answer to: 4/x + 3y = 14 3/x -4y = 23

Putting in the given equation we get, So, 4m + 3y = 14 => 4m + 3y – 14 = 0 ……………..…..(1) 3m – 4y = 23 => 3m – 4y – 23 = 0 ……………….(2) ...

5 years ago
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Answer to: Solve the following pairs of equations by reducing them to a pair of linear equations: 2/√x + 3/√y = 2 4/√x + 9/√y = -1

Substituting 1/√x = m and 1/√y = n in the given equations, we get 2m + 3n = 2 ……………..(i) 4m – 9n = -1 ………………(ii) Multiplying equation (i) by 3,...

5 years ago
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Answer to: Solve the following pairs of equations by reducing them to a pair of linear equations: 1/2x + 1/3y = 2 1/3x + 1/2y = 13/6

Let us assume 1/x = m and 1/y = n, then the equation will change as follows. m/2 + n/3 = 2 ⇒ 3m + 2n - 12 = 0…………………….(1) m/3 + n/2 = 13/6 ⇒ 2...

5 years ago
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Answer to: The area of a rectangle gets reduced by 9 square units, if its length is reduced by 5 units and breadth is increased by 3 units.

Let, The length of rectangle = x unit And breadth of the rectangle = y unit Now, as per the question given, (x – 5) (y + 3) = xy -9 3x – 5y ...

5 years ago
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Answer to: A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.

Let the fraction be x/y. So, as per the question given, (x -1)/y = 1/3 => 3x – y = 3 …………………(1) x/(y + 8) = 1/4 => 4x –y =8 ………………....

5 years ago
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Answer to: A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess.

Let x be the fixed charge and y be the charge of food per day. According to the question, x + 20y = 1000……………….. (i) x + 26y = 1180………………..(ii) ...

5 years ago
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