Question

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?​

Answer 1

4/7*3/4* x+24=x
3x/7+24=x
3x+168=7x
168=7x-3x
168=4x
168/4=x
42=x


Hope It Helps.

Answer 2

Answer:

The required number is 42.

Step-by-step-explanation:

Let the number be x.

From the given condition,

$\displaystyle{\sf\:\dfrac{4}{7}\:\times\:\left(\:\dfrac{3}{4}\:\times\:x\:\right)\:+\:24\:=\:x}$

$\displaystyle{\implies\sf\:\dfrac{\cancel{4}}{7}\:\times\:\dfrac{3x}{\cancel{4}}\:+\:24\:=\:x}$

$\displaystyle{\implies\sf\:\dfrac{1}{7}\:\times\:3x\:+\:24\:=\:x}$

$\displaystyle{\implies\sf\:x\:=\:\dfrac{3x}{7}\:+\:24}$

$\displaystyle{\implies\sf\:x\:=\:\dfrac{3x\:+\:168}{7}}$

$\displaystyle{\implies\sf\:7x\:=\:3x\:+\:168}$

$\displaystyle{\implies\sf\:7x\:-\:3x\:=\:168}$

$\displaystyle{\implies\sf\:4x\:=\:168}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{168}{4}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:42}}}}$

∴ The required number is 42.