Question Find the original value of a house that increased by 32% to $165,000.

Studdy Solution

STEP 1

Assumptions1. The current value of the house is $165,000. The house has increased in value by32% since it was purchased

STEP 2

Let's denote the original value of the house as $X$ . According to the problem, the current value of the house is the original value plus32% of the original value. We can write this as an equation $165,000 = X +0.32X$

STEP 3

We can simplify the equation by combining like terms. $165,000 =1.32X$

STEP 4

Now, we can solve for $X$ by dividing both sides of the equation by1.32.
$X = \frac{165,000}{1.32}$

STEP 5

Calculate the value of $X$ .
$X = \frac{165,000}{1.32} = \$125,000$ The original value of the house was $125,000.

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