How old is Sky now?

Algebra Level pending

Marvin is 33 33 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?


The answer is 22.

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3 solutions

  • Let Sky's age now be x x .
  • Marvin was at Sky's present age 33 x ) 33-x) years ago.
  • Sky's age then was x ( 33 x ) = 2 x 33 x-(33-x) = 2x-33 .
  • And three times Sky's age then is Marvin's age now and in equation

3 ( 2 x 33 ) = 33 2 x 33 = 11 2 x = 44 x = 22 \begin{aligned} 3(2x-33) & = 33 \\ 2x-33 & = 11 \\ 2x & = 44 \\ \implies x & = \boxed{22} \end{aligned}

Let Sky be x x years old now. Then the given informations yield

33 = 3 ( 2 x 33 ) x = 33 × 4 6 = 22 33=3(2x-33)\implies x=\dfrac{33\times 4}{6}=\boxed {22} . So Sky is 22 \boxed {22} years old now.

Marvin Kalngan
May 7, 2020

M = 33 M=33

M = 3 ( S x ) M=3(S-x)

33 = 3 ( S x ) 33=3(S-x)

11 = S x 11=S-x

x = S 11 x=S-11 [ equation 1 ] [\text{equation 1}]

M x = S M-x=S

33 x = S 33-x=S [ equation 2 ] [\text{equation 2}]

Now, substitute the value of x x in [ equation 1 ] [\text{equation 1}] into [ equation 2 ] [\text{equation 2}]

33 x = S 33-x=S

33 ( S 11 ) = S 33-(S-11)=S

33 S + 11 = S 33-S+11=S

2 S = 44 2S=44

S = 22 S=\boxed{22}

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