Question

A number is divided into two parts in the ratio 7 : 4 . if the sum of the numbers and also find the greatest number.

Its Shivika Tiwari.....​

Answer 1

$\huge\underline \mathbb {SOLUTION:-}$

Correct Question :

A number is divided into two parts in the ratio 7 : 4 . if the sum of the numbers 572 and also find the greatest number.

Answer:

• Greatest Number is 364.

Given:

• A number is divided into two parts in the ratio 7 : 4.
• Sum of the both numbers = 572.

Need To Find:

• Find the greatest number.

Let the number be x.

$\underline \mathsf \pink {Therefore\: :-}$

• First number = 7x
• Second number = 4x

Now,

$\underline \mathsf \pink {According \:to\:the\:question\: :-}$

$:\implies \textbf {7x + 4x = 572}$

$:\implies \textbf {11x = 572}$

$:\implies \mathsf {x = \cancel{\dfrac{572}{11}} }$

$:\implies \mathsf \red {x = 52}$

$\underline \mathsf \pink {Hence\: :-}$

$:\implies \textbf {First Number = 7x}$

• 7 × 52 = 364

$:\implies \textbf {Second Number = 4x}$

• 4 × 52 = 208

$\underline \mathsf \pink {Therefore \: :-}$

• Greatest Number is 364.

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Answer 2

It seems minor mistake in the question ;

Correct Question :

A number is divided into two parts in the ratio 7 : 4 . if the sum of the numbers is 572 and also find the greatest number.

Answer:

• The greatest number = 364.

Given :

• A number is divided into two parts in the ratio 7 : 4 .

• The sum of the both numbers = 572.

To find :

• The Greatest number =?

Step-by-step explanation:

Let, the number is divided into two parts of the ratio be 7x and 4x .

The sum of the both numbers = 572. [Given]

According to the given question :

7x + 4x = 572

11x = 572

x = 572/11

x = 52

Hence,

The value of the, 7x = 7 × 52 = 364

Then, the value of the, 4x = 4 × 52 = 208

We can see that the value of the 7x is greater than the value of 4x.

So, 7x > 4x

7 × 52 > 4 × 52

364 > 208

Hence, the greatest number = 364.