Question

The sum of two numbers is 67.When the larger number is divided by the smaller one,we get the quotient as4 and the remainder as2.Find the numbers.​

Answer 1

Answer:

Thus, the numbers are 54 and 13.

Step-by-step explanation:

Let the Larger number is $x$ and the smaller number is $y$.

Given,

The sum of two numbers is 67.

            i.e.                    $x+y=67$                                    equation (1)

and When the larger number is divided by the smaller one, we get the quotient as 4 and the remainder as 2.

           i.e.               $\frac{x}{y} =4\frac{2}{y}$                                               equation (2)

We need to find the numbers.

Sol:    from equation (1),

                               $x+y=67$    

                                     $x=67-y$  

        on putting the value of $x$ in equation (2), we get

                             $\frac{67-y}{y} =4\frac{2}{y} \\\frac{67-y}{y} =\frac{4y+2}{y} \\67-y=4y+2\\5y=65\\y=13$

          ∴       $x=67-13\\x=54$

Thus, the numbers are 54 and 13.

Answer 2

Answer:

Step-by-step explanation: