9514 1404 393Answer:
20, 36
Step-by-step explanation:
Let x and y represent the smaller and larger numbers, respectively. The given relations let us write two equations:
x + y = 56 . . . . . . the sum of the two numbers is 56
2x -y/2 = 22 . . . . twice the smaller exceeds half the larger by 22
We can solve this by multiplying the second equation by 2 and adding the first.
2(2x -y/2) +(x +y) = 2(22) +56
5x = 100 . . . . . . simplify
x = 20
y = 56 -20 = 36
The two numbers are 20 and 36.
