Answer: 57 and 76
Explanation: Let x be the smaller number and y be the greater number. We can set up the following equations using the information provided:
x + y = 133 (1) (the sum of the two numbers)
4x = 3y (2) (Four times the smaller equals three times the greater)
We can use equation (1) to solve for one of the variables in terms of the other. Subtracting x from both sides we have:
y = 133 - x
We can substitute this value of y into equation (2)
4x = 3(133-x)
Expanding the right side and combining like terms gives:
4x = 399 - 3x
Adding 3x to both sides gives:
7x = 399
Dividing both sides by 7 gives:
x = 57
Now we can use equation (1) or the equation x + y = 133 to find the value of y
y = 133 - x
y = 133 - 57
y = 76
So the smaller number is 57 and the greater number is 76