SOLUTION: William, who is twelve years old, is four times as old as his brother. How old will William be when he is twice as old as his brother?

Question 511708: William, who is twelve years old, is four times as old as his brother. How old will William be when he is twice as old as his brother?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
William = 12 years old
His brother = 12/4 = 3 years old
.
In the future, William will be 12+x years old, and his brother will be 3+x years old,
where 'x' is a number of years.
.
At what point will 12+x = 2(3+x)?
.
12 +x = 2(3 +x) = 6 +2x
-x = -6
x = 6
.
Answer: In 6 years, William will be twice as old as his brother.
.
Always check your answer.
12+6 = 18
3+6 = 9
18 = 2*9
Correct
.
Done.
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