Question

Amina thinks of a number and subtracts 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 and check L.H.S and R.H.S

Answer 1

Step-by-step explanation:

let the no. be x

therefore, (x-5/2)*8=3

=(2x-5)4=3

=8x-20=3

therefore x=23/8

Answer 2

★ Question :

Amina thinks of a number and subtracts 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 and check L.H.S and R.H.S

★ Answer :

let the unknown number be x .

by following the question :

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

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

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

$\dfrac{16x - 40}{2} = 3x$

by cross multiplication

$16 x - 40 = 6x$

$16x - 6x = 40$

$10x = 40$

$x = \dfrac{\cancel{40}}{\cancel{10}}$

$\purple{\leadsto x = 4}$