Question

the difference between two numbers is 14 and the difference between their square is 48 find the numbers​

Answer 1

Answer:Hi ,

Convert this word problem into

algebraic equation.

let the two numbers be x and y

Difference between two numbers is

equal to 14

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

Difference between their squares is

equal to 448

x^2 - y^2 = 448

( x + y ) ( x - y ) = 448

( x + y ) × 14 = 448

[ from ( 1 ) ]

x + y = 448/ 14

x + y = 32 ----( 2 )

Add equations ( 1 ) and ( 2 ) , we get

2x = 46

x = 46/2

x = 23

Put x = 23 in equation ( 2 )

23 + y = 32

y = 32 - 23

y = 9

Therefore ,

Required two numbers are x = 23

and y = 9

I hope this helps you.

Answer 2

Answer:

Step-by-step explanation:

here is your answer !!

let the number be x

and other number is y

condition :-

according to question !!

x - y = 14

or

y - x = 14

---------------------------(1)

according to question !

difference between their squares

is =>

x² - y² = 448

or

( 14 + y ) ² - y² = 448

196 + y² + 28y - y² = 448

252 / 28 = y

y = 9

=> on putting the value of y in equation 1 we get

x = 23 , 9

y = 9 , 23

hence , two Answer possible !!

hope it helps you  !!