Question

the sum of two number is 15 if the sum of their reciprocal is 3÷10 find the number​

Answer 1

⭐SõLutiosn ⭐

✏ let two number will be x and y

a/c to questions

x +y = 15.......(1)

Again,

1/x + 1/y = 3/10

=> X + Y = 3xy /10

keep value by (1)

=> 15 = 3xy /10

=> 3xy = 150.................(2)

or

xy = 50...................(3)

by (1)

y = 15-x .........(4)

keep in (3)

x(15-x)=50

=>15x -x²=50

=>x²-15x +50=0

=> x²-10x -5x +50=0

=>x(x-10)-5(x-10)=0

=>(x-5)(x-10)=0

(x-10)=0 or (x-5)=0

=> x = 10 or x = 5

by (4)

if x = 10

y = 5

if x =5

y = 10

✏Thus:-

Value of x = 10 or 5

Value of y = 5 or 10

✒Hopes its help's u.

Answer 2

value 5or10 ..................