Question

Difference between 40% of y and 20% of x is 270 whereas difference between 40% of x and 20% of y is zero.find the sum of x and y

Answer 1

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Answer 2

The sum of x and y is 1350 .

Explanation:

As per given , we have the following system of linear equations :

$0.40y-0.20x=270-------(1)\\\\ 0.40x-0.20y=0------------(2)$

From (2) , we have

$y= \dfrac{0.40}{0.20}x=2x$                (3)

Put value of y in (1) , we get

$0.40(2x)-0.20x=270\\\\ 0.80x-0.20x=270\\\\ 0.60x=270\\\\ x=\dfrac{270}{0.60}=450$

Out value of x in (3) , we get

$y=2(450)=900$

The sum of x and y = 450+900=1350

Hence, the sum of x and y is 1350 .

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