Marvin is 3 3 years old. Marvin is three times as old as Sky was when Marvin was as old as Sky is now. How old is Sky now?
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Let Sky be x years old now. Then the given informations yield
3 3 = 3 ( 2 x − 3 3 ) ⟹ x = 6 3 3 × 4 = 2 2 . So Sky is 2 2 years old now.
M = 3 3
M = 3 ( S − x )
3 3 = 3 ( S − x )
1 1 = S − x
x = S − 1 1 [ equation 1 ]
M − x = S
3 3 − x = S [ equation 2 ]
Now, substitute the value of x in [ equation 1 ] into [ equation 2 ]
3 3 − x = S
3 3 − ( S − 1 1 ) = S
3 3 − S + 1 1 = S
2 S = 4 4
S = 2 2
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3 ( 2 x − 3 3 ) 2 x − 3 3 2 x ⟹ x = 3 3 = 1 1 = 4 4 = 2 2