Question

A boy has to divide a number by 45 but he divided by it 50 and as aresult,the quotient was decreased by 10.What is the actual number?

Answer 1

Answer:

Actual number = 4500

Step-by-step explanation:

For detailed explanation see image.

Thank you.

Answer 2

Answer:

The actual number is 4500.

Step-by-step explanation:

Given,a boy has to divide a number by 45 but by mistake he divided the number by 50 and as a result the quotient was decreased by 10.

Now we want to find what is the actual number.

According to question,

$\frac{x}{45} - \frac{x}{50} = 10$

$\frac{10x - 9x }{450} = 10 \\ \frac{x}{450} = 10$

By cross multiplication,

$x = 10 \times 450 \\ x = 4500$

Therefore the actual number is 4500.

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