cstrini cstrini
  • 19-11-2017
  • Mathematics
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A positive integer is 47 more than 9 times another. Their product is 1860. Find the two integers.

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Catya
Catya Catya
  • 19-11-2017
x = 47 + 9y
xy = 1860

y(47 + 9y) = 1860
47y + 9y² = 1860
9y² + 47y - 1860 = 0

> using a quadratic equation solver on a calculator but you can also use the quadratic equation = [-b+/- √(b²-4ac)]/(2a)
> only integer solution is x = 12

12y = 1860
y = 155

integers are 12 and 155


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