Five years ago, A was three times as old as B. Now, A is twice as old as B. What is A's current age(in years)?
Let the current age of A be $A$ and the current age of B be $B$. From the second condition, we have: $$ A = 2B $$ From the first condition (five years ago): $$ A - 5 = 3(B - 5) $$ Substitute $A = 2B$ into the equation: $$ 2B - 5 = 3B - 15 $$ $$ 15 - 5 = 3B - 2B $$ $$ B = 10 $$ Now, substitute B's age to find A's current age: $$ A = 2(10) = 20 $$
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