1st number = 4
2nd number = 13
Step-by-step explanation:
Let the number = y
1st number = y
2nd number = 9 more than the onter number = 9 more than the 1st number
2nd number = 9 + y
The sum of both numbers = 17
1st number + 2nd number = 17
y + (9 + y) = 17
y + 9 + y = 17
collect like terms:
y + y + 9 = 17
2y + 9 = 17
subtract 9 from both sides:
2y + 9 - 9 = 17 - 9
2y + 0 = 8
2y = 8
divide both sides by 2:
2y/2 = 8/2
y = 4
1st number = y = 4
2nd number = 9 + y = 9 + 4
2nd number = 13
To check: 4 + 13 = 17