Question

one -third of a number exceeds one -fourth of the number by 15 .find the number​

Answer 1

Answer:

Let the number be x.

One third of number =

$\frac{x}{3}$

One fourth of number =

$\frac{x}{4}$

As per given condition :-

$\frac{x}{3} - \frac{x}{4} = 15 \\ \\ taking \: lcm \\ \\ \frac{4x - 3x}{12} = 15 \\ \\ \frac{x}{12} = 15 \\ \\ x = 15 \times 12 \\ \\ x = 180$

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