SOLUTION: john is 6 years older than jill 5 years ago john was 3 times as old as jill was then, form equation in x and solve it to find what age jill is now

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Question 339652: john is 6 years older than jill 5 years ago john was 3 times as old as jill was then, form equation in x and solve it to find what age jill is now
Found 2 solutions by nyc_function, MathTherapy:
Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
John's age now = x + 6

Jill's age now = x

John's age 5 years ago = (x + 6) - 5

Jill's age 5 years ago = x - 5
====================================
(x + 6) - 5 = 3(x - 5)

x - 1 = 3x - 15

x - 3x = -15 + 1

-2x = -14

x = -14/-2

x = 7

Jill is 7 year old.

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Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
john is 6 years older than jill 5 years ago john was 3 times as old as jill was then, form equation in x and solve it to find what age jill is now

Let Jill's and John's current ages be and , respectively

Since john is currently 6 years older than jill, then we'll have:
, or, ____ eq(i)

And, since 5 years ago john was 3 times as old as jill was then, then we'll also get:
, or, ___ eq (ii)

______ eq(i)
___ eq (ii)

__ Subtracting eq (ii) from eq (i)

____

Therefore, or Jill's current age = years.

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