Question

The difference between two numbers is 3. Their sum if 27. What is the smaller number

Answer 1

Answer:

The smaller number is 12.

Step-by-step explanation:

Answer 2

Answer:

The smaller number is 12.

Step-by-step explanation:

Given,

difference between two numbers is 3 and sum is 27.

Let two numbers be x and y.

According to question,

$x - y = 3.....(1) \\ x + y = 27.....(2)$

We are adding equation (1) and (2),

$x - y + x + y = 3 + 27 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15$

We are putting x = 15 in equation (1),

$15 - y = 3 \\ y = 15 - 3 \\ y = 12$

So, required value of x is 15 and value of y is 12.

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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