Answer:
he is 21
Explanation:
We can use the given information to write down two equations that describe the ages of Michael and Brandon.
Hint #22 / 11
Let Michael's current age be mm and Brandon's current age be bb.
Hint #33 / 11
The information in the first sentence can be expressed in the following equation:
\blue{m = b + 12}m=b+12
Hint #44 / 11
Seventeen years ago, Michael was m - 17m−17 years old, and Brandon was b - 17b−17 years old.
Hint #55 / 11
The information in the second sentence can be expressed in the following equation:
\red{m - 17 = 4(b - 17)}m−17=4(b−17)
Hint #66 / 11
Now we have two independent equations, and we can solve for our two unknowns.
Hint #77 / 11
Because we are looking for bb, it might be easiest to use our first equation for mm and substitute it into our second equation.
Hint #88 / 11
Our first equation is: \blue{m = b + 12}m=b+12. Substituting this into our second equation, we get the equation:
\blue{(b + 12)}\red{-17 = 4(b - 17)} (b+12)−17=4(b−17)
which combines the information about bb from both of our original equations.
Hint #99 / 11
Simplifying both sides of this equation, we get: b - 5 = 4 b - 68b−5=4b−68.
Hint #1010 / 11
Solving for bb, we get: 3 b = 633b=63.
Hint #1111 / 11
b = 21b=21.