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The product of two numbers is 892143.one of the number is 7 times the other.Find the...

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shewa55 | Valedictorian

Posted May 6, 2013 at 4:22 PM via web

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The product of two numbers is 892143.one of the number is 7 times the other.Find the number.

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted May 6, 2013 at 4:32 PM (Answer #1)

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You should come up with the following notation for the unknown numbers, such that: x,y

The problem provides two relations between the numbers, such that:

`x*y = 892143`

`x = 7y`

Replacing 7y for x in equation `x*y = 892143` yields:

`7y*y = 892143 `

Dividing by 7 both sides, yields:

`y^2 = 127449 => y_(1,2) = +-sqrt127449 => y_(1,2) = +-357`

`x_1 = 2499`

Since the positive values follows the condition imposed by the problem, hence, evaluating the numbers yields `x = 2499, y = 357.`

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