A woman weighs 40 kg plus half her weight. how much does she weigh

To solve this puzzle, we need to set up an equation and find the woman's weight.

Let's go through this together

• Let x be the woman's original weight in kilograms.
• According to the description, the woman weighs 40 kg plus half her weight, so: weight = 40 kg + 0,5 * x
• We also know that the woman's weight is x kilograms: weight = x kg
• Since both expressions represent the woman's weight, they must be equal: 40 kg + 0,5 * x = x kg
• Now we can solve the equation for x: 40 kg + 0,5 * x = x kg
• Subtract 0,5 * x from both sides of the equation: 40 kg = 0,5 * x
• To isolate x, we divide both sides of the equation by 0,5: x = 40 kg / 0,5
• x = 80kg

So, the original weight of the woman is 80 kilograms.