Question

The sum of two natural numbers is 50. If the difference of their square is 1200, find the numbers.

Answer 1

Step-by-step explanation:

let the two terms be x and y their sum,

x + y = 50 ___ (1)

the difference of square :

x^2 - y^2 = 1200

since, (x+y)(x-y) = x^2 - y^2

so, (x+y)(x-y)=1200

from (1) , 50×(x-y) = 1200

(x-y) =1200/50 = 24 ---(2)

add (1) and (2) :

we get x =37

substitute x in (1)

we get y = 13