Question 1014391
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The sum of 5% of one number and 4% of a second number is 44. 
The sum of 4% of the first number and 5% of the second number is 46. Find the numbers.
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0.05*x + 0.04*y = 44,    (1)
0.04*x + 0.05*y = 46.    (2)

Multiply everything by 100. You will get

5*x + 4*y = 4400,       (1')
4*x + 5*y = 4600.       (2')

Add (1') and (2') and divide by 9. You will get

x + y = 1000.           (3)

Distract (2') from (1'). You will get

x - y = -200.           (4)

Next, add (3) and (4) to get 2x = 1200,  x = 600.

Now from (3) y = 1000 - 600 = 400.
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