Question

the sum and the difference between two natural numbers is 90 and 6 respectively find the numbers​

Answer 1

Answer:

the numbers are 42,48 in this question.

Answer 2

Answer :

The two natural numbers are 48 and 42.

Step-by-step explanation :

Let the two natural numbers be x and y

The larger number = x

The smaller number = y

• Sum of two numbers = 90

               x + y = 90

                 x = 90 - y  

• Difference between the two numbers = 6

                x - y = 6 ---[ 1 ]

               

Substitute x = 90 - y in equation [1]

       x - y = 6

   90 - y - y = 6

    90 - 2y = 6

        2y = 90 - 6

        2y = 84

          y = 84/2

          y = 42

⇒ x = 90 - y

      = 90 - 42

      = 48

Therefore,

the larger number = 48

the smaller number = 42

Verification :

• The two numbers are 48 and 42.

SUM :

x + y = 90

48 + 42 = 90

90 = 90

DIFFERENCE :

x - y = 6

48 - 42 = 6

6 = 6

Hence verified!