Question

find two natural number the sum of whose square's 25 times there sum and also equal to 50 times the difference​

Answer 1

Answer:

putting x in (1)

x² + y² = 25(x+y)

⇒ (3y)² + y² = 25(3y+y)

⇒9y²+y²=25×4y

⇒10y²=100y

⇒y² = 10y

⇒ y = 0 or 10

but y≠0 as y is a natural number

So y = 10

x = 3y = 30

two numbers are 10 and 30