My brother is 4 times as old as I am. Six years from now, he will be twice as old as I will be. How old is my brother now?
Your brother = \(b\)
You = \(y\)
\(b=4y\text{ right now}\)
\((b+6)=2(y+6)\text{ 6 years from now}\)
Now solve.
Hint: Use substitution
We have the equations:
(1) b = 4y
(2) (b + 6) = 2(y + 6)
Substitute (1) and (2) to get rid of the b variable.
So now we have:
(4y + 6) = (2y = 6)
Solve for y, then plug it back into the original equation to solve for b.