Question

The sum of 2 nos is 8. And sum of their reciprocles is 8/15. Find the nos

Answer 1

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Let one number be X. The other number be Y.
GIVEN,
X+Y=8
X=8-Y ---------------(1)
1/X+1/Y=8/15
BY SIMPLIFING 1/X+1/Y=8/15 WE GET,
(X+Y)/XY=8/15
FROM (1) WE GET,
8/8Y-Y2=8/15
Y2-8Y+15=0
(Y - 3)(Y - 5) = 0
Y = 3 or 5
WE KNOW THAT X+Y=8
When Y=5, X=3
When Y = 3, X = 5

Thus, the two numbers are 3 and 5.

Answer 2

Answer:

The two numbers are 5 and 3.

Step-by-step explanation:

Let the two numbers be x and y.

x+y=8------☆

1/x+1/y=8/15

y+x/xy=8/15

15(x+y)=8(xy)

15(8)=8xy(From ☆)

15=xy

xy =15

x=15/y-----♡

From ☆ and ♡

15/y+y=8

(15+y^2)/y=8

15+y^2=8y

y^2-8y+15=0

y^2-3y-5y+15=0(By splitting the middle term)

y(y-3)-5(y-3)=0

(y-3)(y-5)=0

y-3=0; y-5=0

y=3; y=5

x+y=8

x+3=8

x=5

HOPE THIS BRING A SMILE IN YOUR FACE