Question

sum of 2 numbers is 27.their difference is 3, find the product of number​

Answer 1

Answer:

If the sum of 2 numbers is 27 and their difference is 3, then the product of numbers is 180.

Step-by-step explanation:

Lets numbers be x and y, then the given relations will be,

              x + y = 27    ...(1)

               x - y = 3      ...(2)

adding both equation (1)+(2)

⇒     (x + y) + (x - y) = 27 + 3

⇒         x + x + y - y = 30

⇒                       2x = 30

⇒                         x = 30 / 2

⇒                         x = 15

substituting the value of x in the equation (1)

⇒          15 + y = 27

⇒                 y = 27 - 15

⇒                  y = 12

Finding the product

        x × y = 15 × 12

⇒              = 180

Hence, the product of numbers is 180.

Answer 2

Answer:

Product of number​s is $180$.

Step-by-step explanation:

To find :  product of number​s .

Given :  sum of two numbers is 27 and their difference is 3 .

Solution :

• As per given data we know that sum of two numbers is 27 and their difference is 3 .
• Let , two numbers be $x$ and $y$ .
• Then according to given condition we write as ,

         $x + y = 27$ ---------(i)

         $x-y= 3$  -----------(ii)

• We have to find product of numbers , i.e. $xy$ .
• Adding  (i) and (ii) , we get ,

      $( x + y ) + (x -y ) = 27 +3 \\\\x + y +x -y = 30 \\\\ 2x = 30\\\\x = 15$

• Now , substituting value of $x$ in (i) to find $y$.

       $x +y = 27\\\\15 + y = 27 \\\\ y = 27-15\\\\ y= 12$

• Since , now we have value of $x =15$ and $y = 12$ we can find their product by multiplying both $x$ and $y$ .

        $xy = 15\times 12\\\\ xy = 180$