Jackyguys
Jackyguys Jackyguys
  • 24-11-2016
  • Mathematics
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Kevin is 3 times as old as Daniel. 4years ago, Kevin was 5 times as old as Daniel.How old is Daniel now?

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bartdrinksmalk
bartdrinksmalk bartdrinksmalk
  • 24-11-2016
Let [tex]k=[/tex] Kevin's age
Let [tex]d=[/tex] Daniel's age

We know
[tex]k=3d[/tex]
and
[tex]k-4=5(d-4)[/tex]

Plug the value of [tex]k[/tex] into the second equation:
[tex]3d-4=5(d-4)[/tex]
[tex]\rightarrow3d-4=5d-20[/tex]
[tex]\rightarrow-2d-4=-20[/tex]
[tex]\rightarrow-2d=-16[/tex]
[tex]\rightarrow d=8[/tex]

So Daniel is 8 years old.
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