SOLUTION: [The sum of the ages of Sam and Thomas is 27 years. Seven years ago Thomas was 3 years more than one-fourth as old as Sam. Find their present ages.]

Question 923969: [The sum of the ages of Sam and Thomas is 27 years. Seven years ago Thomas was 3 years more than one-fourth as old as Sam. Find their present ages.]

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = sam age
y = thomas age
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x + y = 27
y - 7 = (1/4)(x - 7) + 3
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put the system of linear equations into standard form
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x + y = 27
y - 7 = (1/4)(x - 7) + 3
y - 7 = 0.25x - 7/4 + 3
-0.25x + y = 10 - 7/4
-0.25x + y = 40/4 - 7/4
-0.25x + y = 33/4
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x + y = 27
-0.25x + y = 8.25
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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 = sam age = 15
y = thomas age = 12
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