Question

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

Answer 1

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;

$x = \frac{15}{5}$

x = 3

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

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