Question

A number is as much greater than 84 as it is less than 108. Find it.

Answer 1

Answer:

$\huge{ \red{\dag}}$ Given:

• A number is such that it is as much greater than 84 as it is less than 108.

$\huge{ \red{\dag}}$ To Find:

• The number.

$\huge{ \purple{\dag}}$Solution:

Let, the number be X

Then, the number is greater than 84 by X - 84 and it is less than 108 by 108 - x.

$\bf{ \red{ \therefore}\pink{x - 84 = 108 - x}}$

$\space$

$\rm{ \red{ \implies}x + x = 108 + 84}$

$\space$

$\rm{\red{\implies }2x = 192}$

$\space$

$\rm{ \red{\implies } \frac{2x}{2} = \frac{192}{2} }$

$\space$

$\rm{\bf {\red{\longrightarrow} \pink{x} \blue{ =} \underline{ \green{96}}}}$

Therefore, the number is $\underline{ \green{96}}$

__________☢_________________