Answer: 39 and 83
Explanation:
Let's assume the smaller number is represented by 'x' and the larger number is represented by 'y'.
According to the given information, we have two equations:
Equation 1: x + y = 122
Equation 2: 3x - 34 = y
We can solve this system of equations to find the values of 'x' and 'y'.
Substituting Equation 2 into Equation 1, we get:
x + (3x - 34) = 122
Combining like terms:
4x - 34 = 122
Adding 34 to both sides:
4x = 122 + 34
4x = 156
Dividing both sides by 4:
x = 39
Substituting the value of 'x' back into Equation 1:
39 + y = 122
Subtracting 39 from both sides:
y = 122 - 39
y = 83
Therefore, the smaller number is 39 and the larger number is 83.