Question

(2) Amina thinks of number and subtract from it. She multiplies the result by 8. The result now obtained is 3 Times the same number she thought of. What is the number​

Answer 1

The number is 4 .

Step-by-step explanation:

★Correct question -

• Amina thinks of number and subtracts 5/2 from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number.

To find -

• The number.

★Concept -

• Here, we'll use the concept of linear equations in one variable to solve the question. Let's do it!

★Solution -

Let the number Amina thought be 'x'.

Now she subtracts 5/2 from it,

$\longmapsto \rm{x - \dfrac{5}{2} }$

After that she multiples the new number by 8,

$\longmapsto \rm{ {\large(}x - \dfrac{5}{2} {\large)}8 }$

Finally, the result we obtained is 3 times the same number she thought of,

$\longmapsto \rm{ {\large(}x - \dfrac{5}{2} {\large)}8 = 3x }$

$\longmapsto \rm{ {\large(} \dfrac{2x - 5}{ \cancel2} {\large)} \cancel8 = 3x }$

$\longmapsto \rm{ {\large(} {2x - 5} {\large)} 4 = 3x }$

$\mapsto \rm{ 8x - 20 = 3x }$

$\longmapsto \rm{ 8x - 3x= 20 }$

$\longmapsto \rm{ 5x= 20 }$

$\longmapsto \rm{x = \dfrac{ \cancel{20}}{ \cancel5} }$

$\longmapsto \rm{ \green{x = 4}}$

Therefore, the number Anima thought of is 4.