Question

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10. The sum of two numbers is 8 and the sum of the irreciprocalis 8/15 Find the numbers.​

Answer 1

Let the numbers be x and y respectively

Now according to question

:-)x + y = 8 - (1)

:-)y =8-x- (2)

And also

:-)1/x + 1/y = 8/15

:-}y + x/xy =8/15

:-}8/xy = 8/15

:-}1/xy. = 1/15

:-}xy. = 15

:-}x(8-x) = 15

:-}8x-x2. = 15

:-}x2 - 8x + 15. = 0

:-}x2-5x -3x+15 = 0

:-}x(x-5) -3 (x-5) = 0

:-}(x-5) (x-3) = 0

:-|x-5=0. :-| x-3=0

:-|x=5. :-| x=3

:-|y=8-x. :-|y=8-x

:-|y=8-5. :-|y=8-3

:-|y=3. :-|y=5

X=5,3

Y=3,5

Hope it helps you

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#BAL

Answer 2

Answer:

x=3,y=5 or x=5,y=3

Step-by-step explanation:

x+y=8

y=8-x

1/x+1/y=8/15

y+x/xy=8/15

8/xy=8/15

xy=15

x(8-x)=15

x^2-8x+15=0

x^2-3x-5x+15=0

(x-3)(x-5)=0

x=3,y=5

x=5,y=3

Hope it helps you