Question

7. A number when divided by 5 is reduced by 28. The number is:

Answer 1

Answer:

a number when divided by 5 is reduced by 28 the number is ;

Answer 2

Answer:

Required value of the number is 35.

Step-by-step explanation:

Given, a number when divided by 5 is reduced by 28.

Let the number be x .

According to question,

$\frac{x}{5} = x - 28$

By cross multiplication,

$x = 5 \times (x - 28) \\ x = 5x - 140 \\ 5x - x = 140 \\ 4x = 140 \\ x = \frac{140}{4} \\ x = 35$

Therefore,the number is 35.

This is a problem of equation solving part 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)

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