SOLUTION: How to set up this equation? Cathy is 16 years younger than Mary. In 5 years, Mary will be as twice as old as Cathy. Find their ages now.
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Question 928023: How to set up this equation? Cathy is 16 years younger than Mary. In 5 years, Mary will be as twice as old as Cathy. Find their ages now. Found 2 solutions by TimothyLamb, MathTherapy:Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! x = cathy age now
y = mary age now
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x = y - 16
y + 5 = 2x
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put the system of linear equations into standard form
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x - y = -16
2x - y = 5
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = cathy age now = 21
y = mary age now = 37
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You can put this solution on YOUR website!
How to set up this equation? Cathy is 16 years younger than Mary. In 5 years, Mary will be as twice as old as Cathy. Find their ages now.
Let Cathy's present age, be C
Then Mary's present age = C + 16
We then have: C + 16 + 5 = 2(C + 5)
C + 21 = 2C + 10
C - 2C = 10 - 21
- C = - 11
C, or Cathy's present age = , or
Mary's present age: 11 + 16, or
You can do the check!!
