# 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

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'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

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Take the positive value

Substitute to equation 2'

y = 2x - 5

y = 2(10.956) - 5