Answer:
9 and 15
Step-by-step explanation:
Let the greater number be x and the smaller number be y.
x +y= 24 -----(1)
x -y= 6
x= y +6 -----(2)
Substitute (2) into (1):
y +6 +y= 24
2y +6= 24 (simplify)
2y= 24 -6 (-6 on both sides)
2y= 18
y= 18 ÷2
y=9
Substitute y= 9 into (2):
x= 9 +6
x= 15
Thus the numbers are 9 and 15.
