Question

The sum of the two numbers is 11 and their product is 24. What is the sum of the reciprocals of these numbers ? Tick correct answer options
43293
43416
43428
43289

Answer 1

i think correct option is c.

Answer 2

Answer:

Sum of Reciprocal of 3 and 8 is 0.4583

Step-by-step explanation:

let x be 1st no.

so, 11 - x be the 2nd no.

According to the question,

x × ( 11 - x ) = 24

11x - x² = 24

x² - 11x + 24 =0

Now we solve the quadratic equation with middle term split method

x² - 3x - 8x + 24 = 0

x ( x - 3 ) - 8 ( x - 3 ) = 0

( x - 3 ) ( x - 8 ) = 0

⇒ Numbers are 3 and 8

Now the sum of the reciprocals of these numbers

= $\frac{1}{3}+\frac{1}{8}$

= $\frac{8}{24}+\frac{3}{24}$

= $\frac{8+3}{24}$

= $\frac{11}{24}$

= $0.45833\:\:(approx.)$

Therefore, Sum of Reciprocal of 3 and 8 is 0.4583