To find the original number, 'a', in this algebra problem, we set up and simplify the equation a + 0.80a = 252 to get a = 252 ÷ 1.80. Solving this equation will give us the value of 'a'.
The subject here is mathematics, specifically algebra. The problem can be solved by setting up an equation that represents the described scenario. Let 'a' be the unknown number. The problem states that adding 80% of 'a' to the number gives us 252. This can be expressed as the equation: a + 0.80a = 252.
By simplifying this equation, we get 1.80a = 252. To find the value of 'a', we divide both sides of the equation by 1.80. Doing that, we get a = 252 ÷ 1.80. Hence solving this will give us the original number
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