Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8

Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8.

Let a be the number that Albert has in mind

  1. If we add 5 to this number a+5.

  2. Let’s double this number 2(a+5).

  3. Let’s subtract 6 from this number 2(a+5)-6.

  4. Let’s divide this number by 2 , \large \frac{2(a+5)-6}{2}

\large \frac{2(a+5)-6}{2}=8
\large 2(a+5)-6=16
\large 2(a+5)=22
\large (a+5)=11
\large a=6

Answer: 5