Respuesta :

Let N be the number,
4•(N+3)=8N-16
4N+12=8N-16
4N=28
Final Answer,
N = 7

The required number is 7

What is an expression?

"It is a mathematical statement which consists of number (constant), variable and some mathematical operations."

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let 'x' be the number such that four times the sum of the number plus 3 is equal to 8 times the number minus 16.

the first expression would be,

four times the sum of the number plus 3

⇒ 4 × (x + 3)

And the second expression would be,

8 times the number minus 16

⇒ 8x - 16

So, we get an equation.

4(x + 3) = 8x - 16

We solve above equation to find required number.

⇒ 4(x + 3) = 8x - 16

⇒ 4x + 12 = 8x - 16

⇒ 8x - 4x = 16 + 12

⇒ 4x = 28

x = 7

Therefore, the required number is 7

Learn more about equation here:

https://brainly.com/question/13170101

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