50 is divided into two parts such that the sum of their reciprocals is 1/12. Find the two parts.

Created: 7 years ago | Updated: 5 days ago

Updated: 5 days ago

30 and 20

30 and 25

30 and 40

30 and 35

Investment Corporation Of Bangladesh Investment Corporation - Senior Officer - 13.06.2014 গণিত

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Best Ans:

Hints: Look at the answer, only A has 30 and 20, 30 + 20 = 50, which is the answer.

Alternatively, let the two parts be x, y ; so x + y = 50

1/x + 1/y = 1/12

(y + x)/xy = 1/12

50 /xy = 1/12

xy = 600

x( 50 - x) = 600

50x - x² = 600

x² - 50x + 600 = 0

(x - 30) (x - 20) = 0

x = 30, 20

7 years ago

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