Question

The sum of two natural numbers is 70 and their difference is 10. Find the natural numbers.

Answer 1

Let two natural numbers = x and y

Given sum ⇒ x + y = 70   ...(i)

Difference = x − y = 10   ...(ii)

By solving Equation Simultaneously we get,

    x + y = 70

    x − y = 10
−     +     −     
       2y = 60 

y = `60/2`

y = 30

Substituting value of y in equation (i) is we get,

x + 30 = 70

x = 40

Thus, Natural Numbers = 40 and 30.