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s2008m [1.1K]
3 years ago
5

Find a number that when decreased by 15 is 4 times its opposite

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

The number three (3) when decreased by fifteen (15) is four (4) times its opposite.

In this exercise, you're required to solve for an unknown number by using a variable to represent the number in relation to the known variables (constants) and representing it as an algebraic expression.

  • Let the number be x.

Translating the word problem into an algebraic expression, we have;

x \; - 15 = -4x

Rearranging the algebraic expression by (collecting like terms), we have;

x \; + \;4x = 15\\\\5x = 15

Dividing both sides by 5, we have;

x = \frac{15}{5}

<em>x = 3</em>

<em>Therefore, number </em><em>three</em><em> </em><em>(3) </em><em>when </em><em>decreased</em><em> by </em><em>fifteen (15)</em><em> is </em><em>four (4) </em><em>times its </em><em>opposite.</em>

<em>Find more information: brainly.com/question/15605874</em>

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