Question

the difference between two numbers is 14 and the difference between their square is 448 then find the numbers​

Answer 1

Answer:

The numbers are 23 and 9.

Step-by-step explanation:

let the two numbers be x and y Difference between two numbers = 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

Answer 2

Refers to attachment ☻☻