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)   (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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