Assuming that the phrase "doubled by 2" is tautological, the expression for a number multiplied by 2 (or a number doubled) is 2n.
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3q + 2z, although it could be 2*(3q+z)
Any number when doubled becomes even. Thus the key part of the question is identifying a 3 digit even number that you can add 2 to to become a 4 digit number. The answer is 998. Thus to find the original number we need to do 998/2. This calculates to 499.
Doubled # = original# * 2^(times it doubles)
So, to put your question in an algebraic expression, it should look something like this: X/2 = 2X - 3 Then you would just solve... X = 2(2X - 3) X = 4X - 6 -3X = -6 X = 2
The clue is the word 'doubled' . It means multiply the given number by '2' Hence 34 doubled = 34 x 2 = 68 Similarly ' The word 'tripled' means multiply by '3' Hence 24 x 3 = 72