Question

the sum of two numbers is 15. if the sum of their recipocals 3/10. find the numbers​

Answer 1

Answer:

x & y are either 5 or 10

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

Then, ATQ

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

Also, ATQ

1/x+1/y = 3/10

x+y/xy=3/10

x+y=3xy/10

From (1)

3xy/10=15

xy=150/3

xy=50

x=50/y......... (2)

Put in eq. 1

50/y+y=15

y²+50=15y

y²-15y+50=0

(y-10)(y-5)=0

y=10,5

• CASE 1

When y=10 , x=5

• CASE 2

When y =5 , x=10 Answer