Math, asked by vedikasinha, 1 year ago

6 : x : : 78 : 65 find the value is x​

Answers

Answered by mayank1245
38

6:x::78:65

6/x=78/65

6×65=78x

78x=65×6

78x=390

x=390/78

x=5

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Answered by Afreenakbar
2

Answer:

The value of X is 5.

Step-by-step explanation:

Given that:

Expression "6 : x :: 78 : 65" is read as "6 is to x as 78 is to 65".

This is a proportion, which means that the two ratios on either side of the double colon are equivalent.

To find:

The value of x.

Solution:

We can use the cross-multiplication method.

We cross-multiply the terms on either side of the double colon to get:

6 × 65 = x × 78

Simplifying the left-hand side of the equation gives:

390 = 78x

Dividing both sides of the equation by 78 gives:

x = 5

Therefore, the value of x in the proportion 6 : x :: 78 : 65 is 5.

We can check this by verifying that the two ratios are indeed equivalent:

 \frac{6}{5}  =  \frac{78}{65}

which simplifies to:

 \frac{78}{65}  =  \frac{78}{65}

Since the ratios are equivalent, we know that x = 5 is the correct value.

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