Question

3 are subtracted from twice a number if the difference is multiplied by 5 we get 64 equation

Answer 1

Answer:

The equation is 4(2x-3)=524(2x−3)=52 and the number is 8.

Step-by-step explanation:

Let the number to be found be xx . We can formulate is equation step by step.

The first statement is three is subtracted from twice the number. This can be expressed as,

\implies 2x-3⟹2x−3

Twice the number is 2x2x and three is subtracted from it.

Next, the above difference is multiplied by 4.

that is

\implies 4(2x-3)⟹4(2x−3)

and this product is equal to 52. Thus,

\implies 4(2x-3)=52⟹4(2x−3)=52

Expanding the equation and solving,

\begin{gathered}\implies 8x-12=52\\\\\implies 8x=52+12=64\\\\\implies x=\dfrac{64}{8}=8\end{gathered}

⟹8x−12=52

⟹8x=52+12=64

⟹x=

8

64

=8

So the required number is 8

Hope it helps.