If the sum of one-half, one-third and one-fourth of a number

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If the sum of one-half, one-third and one-fourth of a number exceeds the number itself by 4, what could be the number ?

Let the number be N
∴ (1/2 + 1/3 + 1/4)N = {(6 +4 +3) x N } / 12
= 13N / 12

According to the question,
13N/12 - N = 4
∴ N = 48