SOLUTION: The sum of two numbers is 20. Twice one number is 4 more than four times the other. Find the numbers.

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Question 348988: The sum of two numbers is 20. Twice one number is 4 more than four times the other. Find the numbers.
Found 2 solutions by nyc_function, MathTherapy:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y = the numbers

x + y = 20

2x = 4y + 4

This is your system of equation in two variables.

Can you finish?

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 20. Twice one number is 4 more than four times the other. Find the numbers.
Let the first number be F

Then the second is S

Then F + S = 20 ---- Multiply by - 2 to get: - 2F - 2S = - 40 ---- eq (i)
2F = 4S + 4____2F - 4S = 4 --- eq (ii)
Add eq (i) & (ii): - 6S = - 36

S = %28-36%29%2F-6+=+6

Substitute 6 for S: F + 6 = 20______F = 14

Smaller number = highlight_green%286%29 and larger number = highlight_green%2814%29