Question

Q. If the sum of two numbers is 18 and the sum of their reciprocals is

1
/4
, then the numbers

are



a. 9, 9 c. 12, 6

b. 10, 8 d. 11, 7


ANSWER WITH EXPLANATION..!!


WRONG ANSWERS WILL BE REPORTED..!​

Answer 1

see answer in above picture

hope you get it

Answer 2

Answer:

c) 12, 6

Step-by-step explanation:

Take both numbers as a and b.

then,

a + b = 18 --- eq. 1

(1/a) + (1/b) = 1/4 --- eq. 2

Now, as we take the LCM of eq. 2, we get,

(a+b)/ab = 1/4

Substituting the value of a+; from eq. 1, we get,

18/ab = 1/4

Solving for ab we get ab = 72.

The product of both numbers should be 72. This is only possible when the numbers are 12 and 6.