Question

the difference between the two number is 14 and the difference between their squares is 448 find the numbers

Answer 1

★ Ello★

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 dear !!

$thanks$

Answer 2

hey dear



here is your answer



Solution



we can convert this problem in algebraic equation



let we assume number be x and y




difference between the two number is equal to 14


x - y = 14. ( 1)



difference between their square is 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 equation (1) and (2) we get



2x. = 46


x. = 46 /2


x = 23



put ( 23 ) in equation 2




23. + y = 32


y. = 32 -23


y = 9




hence required two numbers are


x = 23. , y. = 9



hope it helps


thank you