What is the distance of the image to this lense

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The problem involves a lens that creates a real inverted image at x = -24 cm, with the image being twice the height of the object. The initial calculation for the object distance was incorrectly assumed to be 24 cm. Using the magnification formula, the correct image distance was determined to be 48 cm. The confusion was resolved after further consideration of the magnification relationship. The final image distance is confirmed to be 48 cm.
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Homework Statement



A lens placed at the origin with its axis pointing along the x-axis produces a real inverted image at x = -24 cm that is twice as tall as the object

What is the image distance?

Homework Equations



m = -d'/d

The Attempt at a Solution



I thought d=24 cm. and h' = -2h
then use m = h'/h to solve for the m. which I got m = -2.
then I used m = -d'/d
-2 = -d'/24
d' = 48 cm.

I don't know where I did wrong..
please help me..
thanks..
 
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Never mind..
I got it.. :)
 
what did you get wrong>>
 
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