One number is four more than twice a second number their differences is eleven find two numbers

x = 18

y = 7

Step-by-step explanation:

Equations

x = 2*y + 4 (1)

x - y = 11 (2)

Solution

Add y to both sides of equation 2.

x - y + y = 11 + y

x = 11 + y (3)

Equate Equations 1 and 3 for x

2y + 4 = 11 + y Subtract y from both sides

2y - y + 4 = 11 + y - y Combine terms.

y + 4 = 11 Subtract 4 from both sides.

y + 4 - 4 = 11 - 4

y = 7

Now use equation (1) to find x

x = 2y + 4

x = 2 * (7) + 4

x = 14 + 4

x = 18

Answer: (18,7)