Question

difference of two square of natural number is 63 how many make pair​

Answer 1

Answer:

Let the numbers be x and y then $x^{2}$ −$y^{2}$  =60 ⇒(1)

or (x−y)(x+y)=60 ⇒(2)

Factors of 60:

5×12

2×30

4×15

1×60

3×20

6×10

We go for even pairs (2,30) and (6,10)

since even−odd pair wont satisfy condition(2)

checking even pairs in condition(1)

x−y=2, x+y=30 → x=16, y=14

& x−y=6, x+y=10 → x=8, y=2

Hence, only 2 sets of Natural numbers

Answer 2

Answer:

answer attached above.........