Question

If x=a, y=b is the solution of the equations x-y=21 and x+y=41, then the values of a and b are

Answer 1

Answer:

x = a = 31 and y = b = 10

Step-by-step explanation:

 Here,

  x - y = 21

  x = 21 + y      ... ( 1 )

Substituting the value of x from ( 1 ) in other expression:

⇒ x + y = 41

⇒ ( 21 + y ) + y = 41

⇒ 21 + y + y = 41

⇒ 21 + 2y = 41

⇒ 2y = 41 - 21

⇒ 2y = 20

⇒ y = 20 / 2

⇒ y = 10

   Hence,

     x = 21 + y

        = 21 + 10

        = 31

Hence x = 31 and y = 10