SOLUTION: find two numbers that have a quotient of 0.07 and a product of 6.3

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Question 660093: find two numbers that have a quotient of 0.07 and a product of 6.3
Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y be the two numbers. Then we have
x%2Fy+=+0.07 and
x%2Ay+=+6.3
Multiplying:
%28x%2Ay%29+%2A+%28x%2Fy%29+=+6.3+%2A+0.07
%28x%5E2%29y%2Fy+=+0.441
x%5E2+=+0.441
x+=+sqrt%28441%2F1000%29
x+=+sqrt%28441%2A10%2F1000%2A10%29
x+=+sqrt%28%2821%5E2%2A10%29%2F%28100%5E2%29%29
x+=+21%2Asqrt%2810%29%2F100
y+=+6.3%2Fx+=+6.3%2F%2821%2Asqrt%2810%29%2F100%29
y+=+%28100%2A6.3%29%2F%2821%2Asqrt%2810%29%29
y+=+630%2F%2821%2Asqrt%2810%29%29
y+=+30%2Fsqrt%2810%29
y+=+%2830%2Asqrt%2810%29%29%2F%28sqrt%2810%29%2Asqrt%2810%29%29
y+=+%2830%2Asqrt%2810%29%29%2F10
y+=+3%2Asqrt%2810%29
However, if you mistyped the problem statement, and the quotient of the two numbers is actually 0.007 instead of 0.07, the the solution is much cleaner:
x = 0.21 and y = 30, which can be derived by following the same process.