Math, asked by mayankkashavoina2007, 1 month ago

Find the value of x in x:5=28:35

x=4​

Answers

Answered by mahendra15aug
1

Answer:

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Answered by Anonymous
8

Answer:

Given:-

Find the value of x in  x : 5 = 28 : 35

To Find:-

The value of "x"

Note:-

Ratio is also as fraction

The 1st and 4th term in Ratio is extremes and 2nd and 3rd term in Ratio is mean.

The product of extremes is always = product of mean.

For finding x, here we needs to rearrange the term from its side to another as-

+ becomes -

- becomes +

× becomes ÷

÷ becomes ×

Solution:-

x : 5 = 28 : 35

According to note first~

▪︎ x : 5 = 28 : 35

▪︎ \frac{x}{5} = \frac{28}{35}

So according to note fourth point ( rearrangement )~

▪︎ x = \frac{28}{35} × 5

After doing multiplication~

▪︎ x = \frac{140}{35}

After reducing in its lowest term~

▪︎ x = 4

x = 4

Checking:-

Extremes = x, 35 and mean = 5,25

Now let's check by, product of extremes = product of means ?

 x × 35 = 5 × 28 \ \ ?

Applying the value

 4 × 35 = 5 × 28 \ \ ?

 140 = 140 \ \ ?

Yes !

Hence, proved that x = 4

Answer:-

The value of x = 4

:)

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