Question

A number 351 is divided into two parts in the ratio 7:2. Find the difference between two numbers.

Answer 1

Answer:

Let a number 351 is divided into 7x and 2x respectively.

According to question,

7x + 2x = 351

or, 9x = 351

● x= 351/9 = 39

● 7x = 7 × 39 = 273

● 2x = 2 × 39 = 78

Therefore, the difference between two numbers is 273 - 78 = 195.

Answer 2

Answer:

The difference between two numbers is $195$.

Step-by-step explanation:

Given : A number $351$ is divided into two parts in the ratio $7:2$.

To find : The difference between two numbers.

Solution :

• It is given that the number $351$ is divided into two parts in the ratio $7:2$.
• We have to find the difference between two numbers.
• Let, the number be divided into the ratio $7x$ and $2x$.
• Now, according to given condition, the equation becomes

        $7x+2x=351$

            ∴ $9x=351$

             ∴ $x=\frac{351}{9}$

             ∴ $x=39$

• Now, $7x=7*39$

                   $= 273$

               $2x=2*39$

                   $=78$

• ∴ The numbers is divided into two parts i.e. $273$ and $78$.  
•  Hence, the difference between the numbers = $273-78$

                                                                  = $195$

• ∴ The difference between two numbers is $195$.