Question

the sum of two numbers is 16 and the sum of their reciprocals is 16/63 find the numbers

Answer 1

Answer:

7 and 9

Step-by-step explanation:

Numbers=x, y

x+y=16

1/x+1/y=16/63

(x+y)/XY =16/63

we know x+y=16

ie, 16/xy=16/63

XY=63

x=63/y

ie.x+y=63/y+y

=( 63+y²)/y=16

=63+y²-16y

Y² - 9y - 7y + 63 =0 [spliting method ]

y(y-9) -7(y-9 ) =0

(y-9)(y-7) = 0

y-9 = 0

y = 9

ie x=63/9=8

and next value of y is

y - 7 =0

y = 7

ie x=63/7=9

numbers= 7 and 9

Answer 2

Step-by-step explanation:

its yur solution dear.....