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3 years ago

How can you determine which two whole numbers a mixed number will be located between on a number line?

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

Answer:

Step-by-step explanation:

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Two consecutive integers have a sum of 195. Find the integeres

natta225 [31]

Hey ! there

Answer:

First Integer is 97

Second Integer is 98

Step-by-step explanation:

The question says that two consecutive Integer have a sum of 195 . And we are asked to find the integers.

For finding integers we are assuming them . So ,

Let the first integer be x .

Let the second integer be x + 1 ( This is because in question it's given that they are consecutive integers )

Solution : -

According to question ,

First Integer + Second Integer = 195

So ,

$\dashrightarrow \qquad \: x + x + 1 = 195$

Step 1 : Adding like terms ( x and x ) on left side :

$\dashrightarrow \qquad \: 2x + 1 = 195$

Step 2 : Subtracting 1 on both sides :

$\dashrightarrow \qquad \: 2x + \cancel{1} - \cancel{1} = 195 - 1$

Simplifying it ,

$\dashrightarrow \qquad \: 2x = 194$

Step 3 : Dividing with 2 on both sides :

$\dashrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{ 2}} = \cancel{\dfrac{194}{2} }$

On further calculations , We get :

$\dashrightarrow \qquad \: \purple{\underline{\boxed{\frak{ x = 97}}}} \quad \: \bigstar$

We know that ,

x = first number

✰ Therefore , first number is 97 .

x + 1 = second number
97 + 1
98

✰ Therefore , second number is 98. 

Verifying : -

Now , we are verifying our answer by substituting value of first and second number and equating it with 195 . So ,

97 + 98 = 195

195 = 195

L.H.S = R.H.S

Hence , Verified .

Therefore , our solution is correct .

<h2>#Keep Learning</h2>

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