Marvin is 33 years old. Marvin is three times as old as Ana was when Marvin was as old as Ana is now. How old is Ana now?
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the phrase "Marvin is three times as old as Ana was..." means that the age of Marvin now is three times the age of Ana x y e a r s a g o
the phrase "when Marvin was as old as Ana is now" means the age of Marvin x y e a r s a g o is equal to the age of Ana now
let: M be the age of Marvin now;
A be the age of Ana now;
A − x be the age of Ana x y e a r s a g o ;
M − x be the age of Marvin x y e a r s a g o
M = 3 3 = 3 ( A − x )
3 3 = 3 ( A − x )
1 1 = A − x ---->(1)
M − x = A
3 3 − x = A --->(2)
from (1), x = A − 1 1
from (2), 3 3 − A = x
since the difference of their ages is always equal, we equate x = x ,
A − 1 1 = 3 3 − A
A = 2 2