*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.PLEASE HELP!!!!!!!!
Accepted Solution
A:
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.
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.