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A and B both have some pencils. If A gives 10 pencils to B, then B will have twice as many as A. And if B gives 10 pencils to A, then they will have the same number of pencils. How many pencils does each have?

Answer:

"hello guys welcome back to leader
homework i'm leaving kumar working as a
tutor at video
so today we are going to solve and
explore one more really very interesting
question
so let's see how we can do it okay so
now a and both
are persons both have some pencils okay
so now
if a gives 10 pencils to b
then b will have twice as many as a
okay so now observe properly let's
assume a as the x number of pencils
and b as y number of pencils now what is
the first condition they have given here
a gives 10 pencils to b then b
is a b half twice as number of like as
many as a
so if a is giving 10 pencils so it will
become is equals to x minus 10 right
so if it is x minus 10 so this will be 2
of x minus 10
so that it will it will be like gaining
some pencils
so this is only our equation that is y
plus
10 is equals to 2 of x minus 10 right
so this is our first equation here then
so and if b gives 10 pencils to a
then they will have the same number of
pencils so the second equation here is
when the b gives that is y minus 10 is
equals to
x plus 10 so this is our second equation
so now let's solve this both here
so y plus 10 is equals to 2x minus 20
so if you are taking this all to this
side so you will be getting the answer
as
so 2x minus 2x minus
y is equals to 30 you will get okay so
2x minus y is equals to 30 this is our
first equation
and here you will get the answer as x
minus y
is equals to uh how much you will be
getting x minus y is equals to minus 20
you will get here right
so now that is the thing so now let's do
your problem so let's do solve these two
equations here
so we can solve 2x minus y is equals to
30
and here in this end so you will be
getting
x minus y is equals to minus 20
right so now so just subtract here each
and everything
so 2x minus x is equals to x and here it
minus into minus it will become plus
right so this and this will be getting
cancelled
and the x is equals to here minus into
minus plus it will become
so it will become x is equals to 50
right so x is equals to 50 then what is
the value of
y so let's substitute it in any of the
equation here
so that is x minus y is equals to minus
20 so
550 minus y is equals to how much
minus 20 right so then y is equal to how
much 70
right so x is equals to 15 y is equals
to 70 that is our final answer here
so i hope you understood what i've done
if you have any doubts please comment
below don't forget to subscribe to this
channel
thank you so much for watching this stay
tuned"

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