Let the two numbers be x and y, with x being the bigger number and y being the smaller number.
hence, according to first condition, x-y=3.
The difference of their squares is 51.
now, substituting the value of y in equation (II), we get,
6x=60...(+x² and -x² cut and 51 + 9)
Now, substituting the value of x in equation (I),
Therefore, values of x and y are 10 and 7 respectively.
Hence, 10 and 7 are the two numbers.