Answer :

Let the two numbers be x and y.


According to question -


x - y = 14.....(1)


x2 - y2 = 448.....(2)


From equation (1), we get -


x = y + 14.....(3)


Substitute the value of x in equation (2), we get -


(y + 14)2 - y2 = 448


28y + 196 = 448


28y = 252


y = 9


Substitute the value of y in equation (3), we get -


x = 23


Thus, the numbers are 23 and 9.


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