Problema Solution
if three is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2 is added to the product. What is the number?
Answer provided by our tutors
Let 'x' be the number we are looking for. Then we have
(3 + 2 * x) * 2 = 0 * x + 2
3 * 2 + 2 * x * 2 = 0 + 2
6 + 2 * 2 * x = 2
6 + 4 * x = 2
4 * x = 2 - 6
4 * x = - 4
x = (- 4) / 4
x = - 1
Indeed we can check: (3 + 2 * (-1)) * 2 = (3 - 2) * 2 = 2 = 0 * (-1) + 2.
The number is - 1.