Original Number
Number Theory
Level
1
If you begin with a one-digit number, multiply it by 3, then add 8, then divide by 2 and then subtract 6, you will get the original number back.
What is the number?
1
5
7
4
6
0
2
9
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1 solution
Starting with x, we get
2 3 x + 8 − 6 = x
⇒ 2 3 x + 8 = x + 6
⇒ 3 x + 8 = 2 x + 1 2
⇒ x = 4