Answer:
3/2
Step-by-step explanation:
Let x be the unknown number.
If twice a number added to 3: 2x+3
is divided by the number plus 3: (2x+3)/3
the result is three halves: (2x+3)/3 = 3/2
(2x+3)/3 = 3/2
Multiply both sides by 3:
2x + 3 = 9/2
Subtract 3 from both sides:
2x = 9/2 - 3 = 9/2 - 6/2 = 3/2
Divide both sides by 2:
x = 3/4
Check:
(2x+3)/3 = 3/2
(2*(3/4)+3)/3 = 3/2
(6/4 + 3)/3 = 3/2
(18/4)/3 = 3/2
6/4 = 3/2
3/2 = 3/2
Check!
