Question
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One says " Give me a hundred , friend ! I shall then become twice as rich as you ." Tell me what is the amount of their ( respective) capital ?
[ 4 Marks Question ]
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Answers
Answered by
27
==>> solution
given= let the money respected to one person be "x"...
while the other be "y"...
then..
according to condition..
x + 100 be a first persons money...
while y - 100 be with respect to 2nd person...
then,, given , the 'x' person takes 100 from 'y'person...
hence it is given by...
x + 100 = 2( y-100)
x+ 100 =2y - 200
x - 2y = -300...==(1)
SIMILARLY ,,,
the other says. (not mentioned in the question..)...
when second takes 10 from another he becomes 6 times rich as him...
then it is given by...
y + 10 = 6(x-10)
y + 10 = 6x - 60
6x - y = 70..==(2)
from 1,, x - 2y = -300..
x = 2y - 300..==(3)
put 3 in eq 2..
6(2y-300)-y = 70..
11y - 1800= 70
11y = 1870..
y = 170₹..
.. then substitute this value in any equation,, in 1 or 2. .
we get ,
6x - y = 70..
6x - 170 = 70..
6x= 240.
x = 40₹...
hey i think it's too late sleep now❗❗❗
FuturePoet:
oops!! sorry
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