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 numbe

2 thoughts on “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 numbe”

1. [tex]\huge\orange{\overbrace{\red{\underbrace{\color{pink}{{\red\:{✮Answer࿐}}}}}}}[/tex]

   [tex]Answer:[/tex]

   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.

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2. Answer:

   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

   [tex]\longmapsto[/tex] She subtract 5/2 from it,

   [tex] \implies \sf x – \dfrac{5}{2}[/tex]

   [tex]\longmapsto[/tex] She again multiples the result by 8,

   [tex] \implies \sf 8\bigg(x – \dfrac{5}{2}\bigg)[/tex]

   Now, according to the question,

   [tex] \implies \sf 8\bigg(x – \dfrac{5}{2}\bigg) =\: 3x[/tex]

   [tex] \implies \sf 8x – {\cancel{8}} \times \dfrac{5}{\cancel{2}} =\: 3x[/tex]

   [tex] \implies \sf 8x – 4 \times 5 =\: 3x[/tex]

   [tex] \implies \sf 8x – 20 =\: 3x[/tex]

   [tex] \implies \sf 8x – 3x =\: 20[/tex]

   [tex] \implies \sf 5x =\: 20[/tex]

   [tex] \implies \sf x =\: \dfrac{\cancel{20}}{\cancel{5}}[/tex]

   [tex] \implies \sf\bold{\red{x =\: 4}}[/tex]

   [tex]\therefore[/tex] The number that Amina thought is 4.

   Reply