Question

one sixth of a number minus 5 gives 31.

Answer 1

Hi friend, Here's the required answer:-
Let the number be 'x'
According to the question:-
1/6x-5=31
1/6x=31+5
1/6x=36
x=36×6=216
Hope this helps you...
Please mark as brainliest answer!!!

Answer 2

Answer:

Required number is 216.

Step-by-step explanation:

Given,

one sixth of a number minus 5 gives 31

Let the number be x.

Now, one sixth of the number means

$= \frac{1}{6} \times x \\ = \frac{x}{6}$

Then $\frac{x}{6}$ minus 5 $= \frac{x}{6} - 5$

According to question,

$\frac{x}{6} - 5 = 31$

We are Subtracting 5 from $\frac{x}{6}$by fraction's subtraction rule,

$\frac{x - 5 \times 6}{6} = 31 \\ \frac{x - 30}{6} = 31$

By cross multiplication,

$x - 30 = 31 \times 6 \\ x - 30 = 186$

We are separating variable and constant part,

$x = 186 + 30 \\ x = 216$

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,

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