The sum of 2 numbers is 34 Four times the smaller number is 4 less than the larger number What are the numbers?

Let the numbers be 'm' & 'n'

m + n = 34

4m + 4 = n (4 times smaller is 4 less than the larger).

Algebraically rearrange

m + n = 34

4m - n = -4

Add

5m = 30

m = 6

Hence n = 28 (4 x 6 + 4 = 28).

So the two numbers are 6 & 28 .