SOLUTION: Bittoo is one third of his father's age. Twelve years hence he will be half as old as his father.Find the present ages of both.

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Question 827539: Bittoo is one third of his father's age. Twelve years hence he will be half as old as his father.Find the present ages of both.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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x = bit
y = dad
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3x = y
2(x + 12) = y + 12
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put the system of linear equations into standard form:
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3x = y
2x + 24 = y + 12
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3x - y = 0
2x - y = -12
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copy and paste the above linear system in standard form into this matrix-method solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = bit = 12
y = dad = 36
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system matrix
3 -1
2 -1
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inverse of system matrix
1 -1
2 -3
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determinant of system matrix = -1
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