Question

a number decreased by 30 is the same as 14 decreased by 3 times the number find the number

Answer 1

Let's call the unknown number x Now let's decrease it by 30, that is x-30 Now let's write out "14 decreased by three times the number", that is 14 - 3x The problem says these are the same, that is x - 30 = 14 - 3x We now want to isolate, or solve for, x Move the x to one side of the equation by adding 3x to both sides 3x + x -30 = 14 - 3x + 3x 4x -30 = 14 Now move the 30 to the right hand side by adding 30 to both sides 4x - 30 + 30 = 14 + 30 4x = 44 Now all we have to do to get x is divide both sides by 4 4x/4 = 44/4 x = 11

Answer 2

Answer:

Required number is 11.

Step-by-step explanation:

Given,

a number decreased by 30 is the same as 14 decreased by 3 times the number

Let the number be x.

Now x is decreased by 30 $= x - 30$

and 14 is decreased by 3 times of x $= 14-3x$

According to question,

$x - 30 = 14-3x$

Separating variable and constant part,

$x + 3x = +14 + 30 \\ 4x = 44 \\ x = \frac{44}{ 4} \\ x = 11$

So, required number is 11.

This is a problem of Algebra.

Some important Algebra formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Know more about Algebra,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549

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