Question

If 28.x + 22 y =50 and 22x+28 y = 150 then x + y =
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Answer 1

Answer:

4

Step-by-step explanation:

28x+22y=50

22x+28y=150

50x+50y=200

x+y=4

Answer 2

x + y = 4

Step-by-step explanation:

Method 1.

Given,

28x + 22y = 50 ..... (1)

22x + 28y = 150 ..... (2)

Adding (1) and (2), we get

(28 + 22) x + (22 + 28) y = 50 + 150

or, 50x + 50y = 200

or, 50 (x + y) = 200

or, x + y = 4

Therefore x + y = 4

Method 2.

Given,

28x + 22y = 50 ..... (1)

22x + 28y = 150 ..... (2)

Multiplying (1) by 22 and (2) by 28, we get

616x + 484y = 1100

616x + 784y = 4200

On subtraction, we get

300y = 3100, i.e, y = 31/3

So x = (50 - 22 *31/3)/28

= - 19/3

i.e., x = - 19/3

Therefore x + y

= - 19/3 + 31/3

= (- 19 + 31)/3

= 12/3 = 4