High School

After losing 23 pounds, an individual weighs 117 pounds more than one-third of his previous weight. Find the previous weight of the individual.

Answer :

The previous weight of the individual was 210 pounds before losing 23 pounds.

Let's denote the previous weight of the individual as 'x' pounds.

According to the given information, after losing 23 pounds, the individual weighs 117 pounds more than one-third of his previous weight. We can set up the equation:

x - 23 = (1/3) * x + 117

To solve for 'x', we can start by multiplying both sides of the equation by 3 to eliminate the fraction:

3(x - 23) = x + 351

Next, distribute the 3 on the left side:

3x - 69 = x + 351

Move the x term to one side of the equation and the constant terms to the other side:

3x - x = 351 + 69

2x = 420

Divide both sides by 2 to solve for 'x':

x = 420 / 2

x = 210

Therefore, the previous weight of the individual was 210 pounds

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