Answer:
the bigger number is 42 while
the smaller number is 21
Step-by-step explanation:
Let x be the bigger number and y be the smaller number.
x + y = 63 ...(1)
x - y = 21 ...(2)
Add (1) to (2)
2x = 84 Divide both sides by 2
x = 42
Substitute this in (1)
42 + y = 63
y = 63 - 42
y = 21
Therefore, the bigger number is 42 and the smaller number is 21