Question

The difference b/w two numbers is 14 and the differences b/w their squares is 448 find the numbers

Answer 1

Heya !!


Let two numbers be X and Y.


According to the question,


X - Y = 14 ----------(1)


And,



( X )² - ( Y )² = 448 ------(2)


From equation (1) we get,



X - Y = 14



X = ( 14 + Y ) --------(3)


Putting the value of X in equation (2)



( X )² - ( Y )² = 448


( 14 + Y)² - ( Y )² = 448


(14)²+ (Y)² + 2 × 14 × Y - Y² = 448




28Y + 196 = 448


28Y = ( 448 - 196)


28Y = 252


Y = 252/28


Y = 9


Putting the value of Y in equation (3)


X = ( 14 + Y ) = (14+9) = 23


First number = X = 23


and,


Second number = Y = 9.



Hope it will help you :-)

Answer 2

Kindly refer to my attachment.....___________Now , From 1st & 2nd equation.......

Find x and y :--

you can solve & get the value of X = 23 & Y = 9 .

Hope it helps.....!!