x= larger number
x-6= smaller number
x + (x - 6)= 62
combine like terms
2x - 6= 62
add 6 to both sides
2x= 68
divide both sides by 2
x= 34 larger number
SMALLER NUMBER
x - 6= 34 - 6= 28
ANSWER: The smaller number is 28 and the larger number is 34.
Hope this helps! :)