Solution:
Let the numbers be x and y
The sum of numbers = 13
=> x + y = 13 ...............(1)
and
2x - 3y = 1 .................(2)
Step 2:
(1) => y = 13 - x
Step 3:
Put y = 13 - x in equation (2)
=> 2x - 3(13 - x) = 1
=> 2x - 39 + 3x = 1
=> 5x = 40
=> x = 8
Step 4:
Put x = 8 in equation(1)
=> 8 + y = 13
=> y = 13 - 8 = 5
Hence numbers are 8 and 5.
Once you get the answer to your
Eighth Grade problem, you should always go back and recheck. Sometimes, you might miss out on small details and going over the problem and solution again helps.