Hey ! there
Answer:
- First Integer is <u>9</u><u>7</u>
- Second Integer is <u>9</u><u>8</u>
Step-by-step explanation:
The question says that <u>two </u><u>consecutive</u><u> </u><u>Integer</u><u> </u><u>have </u><u>a </u><u>sum </u><u>of </u><u>1</u><u>9</u><u>5</u><u> </u><u>.</u> And we are asked to find the integers.
For finding integers we are assuming them . So ,
- Let the first integer be <u>x </u><u>.</u>
- Let the second integer be <u>x </u><u>+</u><u> </u><u>1</u><u> </u>( This is because in question it's given that they are consecutive integers )
<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>
According to question ,
- First Integer + Second Integer = 195
So ,

<u>Step </u><u>1</u><u> </u><u>:</u> Adding like terms ( x and x ) on left side :

<u>Step </u><u>2</u><u> </u><u>:</u> Subtracting 1 on both sides :

Simplifying it ,

<u>Step </u><u>3 </u><u>:</u> Dividing with 2 on both sides :

On further calculations , We get :

<u>We </u><u>know </u><u>that</u><u> </u><u>,</u>
✰ Therefore , first number is<u> </u><u>9</u><u>7</u><u> </u><u>.</u>
- x + 1 = second number
- 97 + 1
- 98
✰ Therefore , second number is <u>9</u><u>8</u><u>. </u>
<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>
Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,
<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> solution</u><u> is</u><u> correct</u><u> </u><u>.</u>
<h2>
<u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>