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Popular Word Problems >

The difference between two numbers is 9 and the product of the numbers is 162.Let x be the smaller number. Form an equation in x and solve it to find the two numbers.

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Solution

Thedifferencebetweentwonumbersis9andtheproductofthenumbersis162.Letxbethesmallernumber.Formanequationinxandsolveittofindthetwonumbers.

Solution

Thenumbers:18,9or−9,−18
Solution steps
Represent the numbers with xandy:
number1:x
number2:y
A.T.Q.:
x−y=9
xy=162
x−y=9,xy=162:(x=18,y=9x=−9,y=−18​)
Thenumbers:18,9or−9,−18

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