Answer:
The two numbers are 90 and 59
Explanation:
Let's call the two numbers x and y.
From the problem statement, we know that:
x + y = 149 (the sum of two numbers is 149)
x - y = 31 (the difference of the two numbers is 31)
To solve for x and y, we can use the method of elimination. Adding the two equations together eliminates the y term:
(x + y) + (x - y) = 149 + 31
2x = 180
x = 90
Substituting x = 90 into one of the original equations, we can solve for y:
x + y = 149
90 + y = 149
y = 59
Therefore, the two numbers are 90 and 59.