Question

4. The sum of two positive numbers x and y (x > y)
is 50 and the difference of their squares is 720.
Find the numbers.
​

Answer 1

Step-by-step explanation:

Given,

x and y are two positive integers

According to the question

x+y=50.............(1)

and

x

2

−y

2

=720...................(2)

⇒(x−y)(x+y)=720

∴x−y=

50

720

=

5

72

............(3)

(1)+(3)

2x=50+

5

72

2x=

5

322

x=

10

322

x=32.2

y=50−32.2=17.8

x=32.2 and y=17.8