The sum of two numbers is 68 if four times the smaller number is subtracted from the larger number, the result is 3 find the two numbers.

If we say:

x = the smaller numbers we want to find

y = the larger number we want to find

Then, we can formulate two equations using the information given:

x + y = 68 [1]

y - 4x = 3 [2]

Now, we can solve simultaneously:

Rearrange [1] & [2] in terms of y:

y = 68 - x [1]

y = 4x + 3 [2]

Now equate them and solve for x:

68 - x = 4x + 3

5x + 3 = 68

5x = 65

x = 13

Sub x-value into either [1] or [2]:

y = 68 - (13)

y = 55