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The product of two numbers is 10 greater than 16 times the smaller.If twice the smaller is 5more than the larger number,find the two numbers

Sagot :

Shinalcantaraidn
Let 'x' be the smaller number
      'y' be the larger number
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-the product of two numbers is 10 greater than 16 times the smaller
xy = 16x + 10    ------equation 1
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-twice the smaller is 5 more than the larger
2x = y + 5   -----equation 2
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From equation 2
2x = y + 5
y = 2x - 5   ----equation 2'
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Substitute equation 2' to equation 1
xy = 16x + 10
x (2x - 5) = 16x + 10
2x² - 5x = 16x + 10
2x² - 5x - 16x - 10 = 0
2x² - 21x - 10 = 0
Using quadratic formula
x = 10.956; x = -0.4564
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Take the positive value
Substitute to equation 2'
y = 2x - 5
y = 2(10.956) - 5
y = 16.912