Question

The sum of two numbers is 13 and there diffrince is 3

Answer 1

Step-by-step explanation:

Let first number be x second number be y

According to given,

x + y = 13........ (I)

x - y = 3........ (ii)

Add both the eq. (I) and (ii)

2x =16

x= 8

Y= 5

Answer 2

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The sum of two numbers is 13 and there diffrince is 3

$\pink\star \pink \large \bf \ answer \pink \star$

Consider the two numbers as x and y. From the given data, we write:

$x</p><p>−</p><p>y</p><p>=</p><p>3 \\ </p><p> </p><p>x</p><p>+</p><p>y</p><p>=</p><p>13$

From the first equation, we determine a value for

$</p><p> .</p><p></p><p>x</p><p>−</p><p>y</p><p>=</p><p>3$

Add y to both sides.

$x</p><p>=</p><p>y</p><p>+</p><p>3$

In the second equation, substitute x with

$(</p><p>y</p><p>+</p><p>3</p><p>)</p><p> .</p><p></p><p>x</p><p>+</p><p>y</p><p>=</p><p>13 \\ </p><p> </p><p></p><p>(</p><p>y</p><p>+</p><p>3</p><p>)</p><p>+</p><p>y</p><p>=</p><p>13$

Open the brackets and simplify.

$y</p><p>+</p><p>3</p><p>+</p><p>y</p><p>=</p><p>13 \\ </p><p> </p><p></p><p>2</p><p>y</p><p>+</p><p>3</p><p>=</p><p>13$

Subtract 3 from each side.

$2</p><p>y</p><p>=</p><p>10$

Divide both sides by 2

.

$y</p><p>=</p><p>5</p><p>$

In the first equation, substitute y with 5

.

$</p><p>x</p><p>−</p><p>y</p><p>=</p><p>3 \\ </p><p> </p><p></p><p>x</p><p>−</p><p>5</p><p>=</p><p>3$

Add 5 to each side.

$x</p><p>=</p><p>8$