Question

Amina thinks of a number and subtract 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?

Answer 1

Let the no. be x
x-5/2 = (2x-5)/2
8(2x-5/2)=3x
4(2x-5)=3x
8 x-20=3x
8x-3x=20
5x=20
∴x=4

Answer 2

$\huge\sf\pink{Answer}$

☞ Your Answer is 4

$\rule{110}1$

$\huge\sf\blue{Given}$

➝ Anna thinks of a number and subtracts $\dfrac{5}{2}$

➝ Then it is multiplied by 8

➝ Then the final result is 3 times the real number

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

✭ The number?

$\rule{110}1$

$\huge\sf\purple{Steps}$

❍ Let the number be x

$\normalsize\quad\sf\underbrace{When \: 5/2 \: is \: subtracted}_{\large\ x - \frac{5}{2} }$

$\normalsize\quad\sf\underbrace{Multiplied \: result \: by \: 8}_{\large\ 8 \left(x - \frac{5}{2} \right)}$

$\underline{\dag\:\textsf{According \: to \: given \: in \: question:}}$

$\normalsize\twoheadrightarrow\sf\ 3 \times\ number = Number \: formed$

$\normalsize\twoheadrightarrow\sf\ 3x = 8 \left( x - \dfrac{5}{2} \right)$

$\normalsize\twoheadrightarrow\sf\ 3x = 8 \left( 2x - 10 \right)$

$\normalsize\twoheadrightarrow\sf\ 3x = 8y - 10$

$\scriptsize\sf{\: \: \: \: \: \: \: \: \: \dag\ Cancel \: negative \: signs \: both \: side}$

$\normalsize \twoheadrightarrow\sf\ -5x = - 10$

$\normalsize \twoheadrightarrow\sf\ x = \dfrac{{10}}{{2}}$

$\normalsize\orange{ \twoheadrightarrow\sf\ x = 2}$

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