If 24 is added to 4/7 th of 3/4 th of a number, the result is the same number.What is that number?​​

2 thoughts on “If 24 is added to 4/7 th of 3/4 th of a number, the result is the same number.What is that number?​​”

1. Given:

   1/4 subtracted from half of a number is 1/4 part of a number.

   To find:

   What is the number.

   • Solution:

   Let the number be x

   • So as per the condition of the question the equation of the condition is given by:

   [tex]\sf\frac{x}{2} -\frac{1}{4} = \frac{x}{4} [/tex]

   [tex]\sf\frac{x}{2} – \frac{x}{4} = \frac{1}{4}[/tex]

   [tex]\sf\frac{2x-x}{4} = \frac{1}{4} [/tex]

   [tex]\sf\frac{x}{4} = \frac{1}{4} [/tex]

   By solving the equation we get the value of x= 1

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2. Answer:

   Let the number be x.

   Now, As per the question,

   4/7 * 3/4 * x +24 = x

   3x/7 + 24 = x

   3x + 168 = 7x

   4x = 168

   x = 42.

   So, Required no. is 42.

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