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Kannas726 Kannas726
  • 19-04-2014
  • Mathematics
Answered

John is twice as old as her sister Jane. Four years ago, John was three times as old.

What is John’s current age?

Verified Answer :

Anonymous Anonymous
  • 19-04-2014

\(x-Jane\\2x-John\\\\x-4-Jane\ (4\ years\ ago)\\2x-4-John\ (4\ years\ ago)\\\\2x-4=3(x-4)\\2x-4=3x-12\ \ \ /+4\\2x-4+4=3x-12+4\\2x=3x-8\ \ \ /-3x\\2x-3x=3x-3x-8\\-x=-8\ \ \ /\cdot(-1)\\x=8\\\\2x=2\cdot8=16\\\\\\Answer:John's\ current\ age\ is\ 16\ years.\)

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