Question 1157827

If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number.
<pre>Let number be N
Then we get: {{{matrix(1,7, (N - 4)/4, "=", (1/6) * N + 1, "=====>", (N - 4)/4, "=", N/6 + 1)}}}
3(N - 4) = 2N + 12 ------ Multiplying by LCD, 12
3N - 12 = 2N + 12
3N - 2N = 24
Number, or {{{highlight_green(matrix(1,3, N, "=", 24))}}}