SOLUTION: In a 2-digit number, the units digit is 4 more than the tens digit. If the digits are reversed the new number is 6 more than thrice the original number. find the original number

Question 937657: In a 2-digit number, the units digit is 4 more than the tens digit. If the digits are reversed the new number is 6 more than thrice the original number. find the original number

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = units digit
y = tens digit
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x = y + 4
10x + y = 3(x + 10y) + 6
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x - y = 4
10x + y = 3x + 30y + 6
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put the system of linear equations into standard form
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x - y = 4
7x - 29y = 6
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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 = 5
y = 1
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answer:
the original number = x + 10y = 5 + 10*1 = 15
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