Answer:
The numbers are 15 and 32.
Explanation:
Let:
x = one of the numbers
y = another number
---
x + y = 47
x - y = 17
---
x - y = 17
x = 17 +y
--
x + y = 47
(17+y) + y = 47
17+ y + y = 47
17 + 2y = 47
2y = 47 - 17
2y = 30
y = 30/2
y = 15
---
x = 17 +y
x = 17 + 15
x = 32
---
The numbers are 15 and 32.