uptetd16p2 q149
0. The sum of two natural number is 8. Determine the numbers if the sum of their reciprocals is 
- Option : A
- Explanation : (A) Let the two numbers be x and (8 - x)
Then,
⇒ 15 × 8 = 8x(8 - x)
⇒ 120 = 64x - 8x2
⇒ 8x2 - 64x + 120 = 0
⇒ x2 - 8x + 15 = 0
⇒ x2 -5x - 3x + 15 = 0
⇒ x(x - 5) - 3(x - 5) = 0
⇒(x - 3) (x - 5) = 0
⇒ x = 3, 5
Hence, the two natural numbers are 3 and 5
*/?>
*/?>
*/?>
*/?>