a sum of 2 numbers is 34 the larger is 8 more than the smaller which numbers are they

Answer 1

Set the two numbers as variables: L = larger number, S = smaller number

Use your information. First, the sum is 34:

L + S= 34

Next, the larger is 8 more than the smaller:

S + 8 = L

Now you can substitute S + 8 for L in your first equation:

S + 8 + S = 34

Solve:

2S + 8 = 34

2S = 34 - 8

2S = 26

S = 13

Substitute this into your first equation:

L + 13 = 34

L = 34 - 13

L = 21

Check your answer with the second equation

S + 8 = L

13 + 8 = 21

21 = 21 Check