Question

Bhavee thinks of a number and subtracts 5/2 from it. She multiply the result by 8. The final result is three times her original number. Find the number​

Answer 1

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• Bhavee thinks of a number and subtracts 5/2 from it.

• Then she multiplies the result by 8.

• The final result is three times her original number.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The original number.

$\bf{\underline{\underline\green{Solution:-}}}$

$\sf Let \:the\: original \:number\: be\: x$

$\sf\pink{\underline{Case\: 1:-}}$

$\sf She\: subtracts \: \dfrac{5}{2}\: from\:the\:number$

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

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

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

$\sf The \: resulting\: number= \dfrac{2x- 5}{2}$

$\sf\orange{\underline{Case\: 2:-}}$

$\sf The\: resulting \:number \:is \:multiplied\: by \:8$

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

$\implies \sf {4(2x- 5)}$

$\implies \sf {8x- 20}$

$\implies \sf The\:final\:result = {8x- 20}$

$\sf\red{\underline{Case\: 3:-}}$

The final result is three times the original number.

$\sf The \: final \: result = 3(original \: number)$

$\sf \implies8x - 20 = 3(x)$

$\sf \implies8x - 20 = 3x$

$\sf \implies8x - 3x= 20$

$\sf \implies5x= 20$

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

$\sf \implies x= 4$

Let's check the result:-

Let us check by substituting 4 as the original number

$\sf She\: subtracts \: \dfrac{5}{2}\: from\:the\:number$

$\implies \sf 4 - \dfrac{5}{2}$

$\implies \sf \dfrac{8-5}{2}$

$\implies \sf \dfrac{3}{2}$

$\implies \sf Result= \dfrac{3}{2}$

$\sf The\: result \:\:is \:multiplied\: by \:8$

$\implies \sf \dfrac{3}{2} \times 8$

$\implies \sf 3\times 4$

$\implies \sf 12$

The final result is three times the original number.

$\sf The \: final \: result = 3(original \: number)$

$\implies \sf 12 = 3(4)$

$\implies \sf 12 = 12$

RHS = LHS

Hence verified

$\underline{ \boxed{ \purple{\bf \therefore The \: original \: number= 4 }}}$

Answer 2

Answer:

unnoda full name enna bhavee...??

Step-by-step explanation:

Enaku full name iruku theriyuma

my full name is Rajavel Arunkumar