Question

smita takes a number and subtract 5/2 from it. she multiplies the result by 8. the result obtained is 3 times the given number. what is the number?​

Answer 1

let X be the number Smita thought of

[x-5/2]8=3x

[2x-5/2]8=3x

16x-40/2=3x

8x-40=3x

8x-3x=40

5x=40

x=40/5

x=8

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Answer 2

Solution:

Let the number be x.

Now, according to question,

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

$\sf{\implies 8x - \dfrac{40}{2}=3x}$

$\sf{\implies 8x - 20 = 3x}$

$\sf{\implies -20 = 3x-8x}$

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

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

$\large{\boxed{\boxed{\red{\sf{\implies x = 4}}}}}$

Verification:

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

$\sf{\implies \Bigg(4-\dfrac{5}{2}\Bigg)8 = 3\times 4}$

$\sf{\implies 32 - \dfrac{40}{2} = 12}$

$\sf{\implies 32 - 20 = 12}$

$\sf{\implies 12 = 12}$

LHS = RHS

Hence Proved!!!