Question

22. A sum of 34000 was
divided among x persons.
Had there been 10 more
persons, each would have
got 80 less. Which of the
following represents the
above situation?​

Answer 1

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8th

Maths

Linear Equations in One Variable

Solving Linear Equations in One Variable

Rs 6400 were divided equall...

MATHS

Rs 6400 were divided equally among x persons. Had this money been divided equally among (x+14) persons, each would have got Rs 28 less. Find the value of x

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ANSWER

It is given that

(i) Rs. 6400 is divided into x person

(ii) If there ware (x+14) then each would get Rs. 28 less than before.

So

x

6400

−

x=14

6400

=28

⇒6400[

x

1

−

x+14

1

]=28

⇒6400[

x(x+14)

x+14−x

]=28

⇒3200=x

2

+14x

⇒x

2

+14x−3200=0

⇒x

2

+64x−50x−3200=0

⇒x(x+64)−50(x+64)=0

⇒(x−50)(x+64)=0

x=50, x



=−64.

Since Δ=64

2

−4×1×−3200>0

positive root will be considered and negative root will be neglected.