I multiplied my number by 102,then subtracted 228. I then divided by 6.Finally I added 51. My result was 200. What number was I thinking of ?

x

[(102 x - 228 )/6] +51 = 200

(102 x - 228 )/6 = 149

102 x - 228 = 894

102 x = 1122

x = 11

11 * 102 - 228

1122 - 228 = 894
894 /6 = 149
149 + 51
= 200

sure enough :)

(102x -228)/6 +51 = 200

102

To find the number you were thinking of, we need to undo the operations in reverse order.

1. Start with the result, which is 200.

2. Subtract 51 from 200: 200 - 51 = 149.

3. Multiply 149 by 6: 149 * 6 = 894.

4. Add 228 to 894: 894 + 228 = 1122.

5. Divide 1122 by 102: 1122 / 102 = 11.

Therefore, the number you were thinking of is 11.