The difference between 1/3 of a certain number and 1/4 of the same number is 3.
What is the number?
24. 36. 48. 60. or 72?

Respuesta :

Answer:

36

Step-by-step explanation:

Let the required number be x.

[tex] \frac{1}{3} \: of \: x = \frac{1}{3}x = \frac{x}{3} \\ \\ \frac{1}{4} \: of \: x = \frac{1}{4}x = \frac{x}{4} \\ \\ according \: to \: the \: given \: condition \\ \\ \frac{x}{3} - \frac{x}{4} = 3 \\ \\ \frac{4x - 3x}{3 \times 4} = 3 \\ \\ \frac{x}{12} = 3 \\ \\ x = 12 \times 3 \\ \\ \huge \red{ \boxed{ x = 36}}[/tex]

The number is 36.

Given that,

  • The difference between one-third of a certain number and one-fourth of the same number is 3.
  • Here we assume the number be x.

Based on the above information, the calculation is as follows:

[tex]\frac{x}{3} - \frac{x}4} = 3 \\\\\frac{4x - 3x}{12} = 3\\\\x = 36[/tex]

Learn more: brainly.com/question/17429689