Question

amina thinks of a number and subtract 5/2from it, she multiplies the result by 8. the result now obtained is 3 tims the same number she thought of. what is the number​

Answer 1

Answer:

4

Step-by-step explanation: Let the number be 'x'.

     Subtracting 5/2 from it :

⇒ x - 5/2

     Multiplying the result by 8 :

⇒ 8(x - 5/2)  

⇒ 8x - 8(5/2)

⇒ 8x - 20

Given, the result is 3 times the original number:

⇒ 8x - 20 = 3(x)

⇒ 8x - 20 = 3x

⇒ 8x - 3x =20

⇒ 5x = 20

⇒ x = 20/5

⇒ x = 4

   The number that Amina thought is 4.

Answer 2

Answer:

Given :-

• Amina thinks of a number and subtract 5/2 from it, she multiplies the results by 8.
• The result now obtained is 3 times the same number.

To Find :-

• What is the number Amina thinks.

Solution :-

Let, the number Amina thought be x

$\longmapsto$ She subtract 5/2 from it,

$\implies \sf x - \dfrac{5}{2}$

$\longmapsto$ She again multiples the result by 8,

$\implies \sf 8\bigg(x - \dfrac{5}{2}\bigg)$

Now, according to the question,

$\implies \sf 8\bigg(x - \dfrac{5}{2}\bigg) =\: 3x$

$\implies \sf 8x - {\cancel{8}} \times \dfrac{5}{\cancel{2}} =\: 3x$

$\implies \sf 8x - 4 \times 5 =\: 3x$

$\implies \sf 8x - 20 =\: 3x$

$\implies \sf 8x - 3x =\: 20$

$\implies \sf 5x =\: 20$

$\implies \sf x =\: \dfrac{\cancel{20}}{\cancel{5}}$

$\implies \sf\bold{\red{x =\: 4}}$

$\therefore$ The number that Amina thought is 4.