SOLUTION: The tens digit of a two digit number exceeds the unit digit by 4. If the product of the tens digit and the unit digit is 21, find the number

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Question 936439: The tens digit of a two digit number exceeds the unit digit by 4. If the product of the tens digit and the unit digit is 21, find the number
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = unit digit
y = tens digit
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y = x + 4
xy = 21
x(x + 4) = 21
xx + 4x - 21 = 0
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the above quadratic equation is in standard form, with a=1, b=4 and c=-21
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 4 -21
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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x = 3
x = -7
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the negative root doesn't fit the problem statement, so use the positive root:
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x = 3
y = x + 4
y = 3 + 4
y = 7
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answer:
the number = 73
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