the sum of two numbers is 4000.If 15% of one is equal to 25% of the other,find the numbers
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Solution:-
let first number = x
And
second number = y
According to question :
sum of two numbers is 4000.
=> x + y = 4000
=> x = 4000 - y ........(1.)
And
15% of one is equal to 25% of the other
=> 15 % of x = 25 % of y
=> 15x /100 = 25y/100
=> 3x/20 = y/4
=> 12x = 20y (cross multiply ...)
= 12x - 20y = 0 .........(2.)
putting value of x from equation (1.) in equation (2.)
we get
=> 12×(4000 - y) - 20y = 0
=> 48000 - 12y - 20y = 0
=> 48000 - 32y = 0
=> 32y = 48000
=> y = 1500
Now,
putting value of y in equation (1.)
we get
x = 4000 - y
=> x = 4000 - 1500
=> x = 2500
Hence;
first number =x = 2500
And
second number = y = 1500 Answer
# Hope it helps
:)
Solution:-
let first number = x
And
second number = y
According to question :
sum of two numbers is 4000.
=> x + y = 4000
=> x = 4000 - y ........(1.)
And
15% of one is equal to 25% of the other
=> 15 % of x = 25 % of y
=> 15x /100 = 25y/100
=> 3x/20 = y/4
=> 12x = 20y (cross multiply ...)
= 12x - 20y = 0 .........(2.)
putting value of x from equation (1.) in equation (2.)
we get
=> 12×(4000 - y) - 20y = 0
=> 48000 - 12y - 20y = 0
=> 48000 - 32y = 0
=> 32y = 48000
=> y = 1500
Now,
putting value of y in equation (1.)
we get
x = 4000 - y
=> x = 4000 - 1500
=> x = 2500
Hence;
first number =x = 2500
And
second number = y = 1500 Answer
# Hope it helps
:)
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