15. X number of men can finish a piece of work in 30
days. If there were 6 men more, the work could be
finished in 10 da

2 thoughts on “15. X number of men can finish a piece of work in 30<br />days. If there were 6 men more, the work could be<br />finished in 10 da”

1. Solution:

   Given

   • X men take 30 days to complete a work.
   • 1 men will takes 30X days to complete then. (From the above relation).

   And,

   • If there were 6 more men, then number of men now is X + 6.
   • No. of days is 30 – 10 = 20 days.

   • X + 6 men take 20 days to complete.
   • 1 men will take (X + 6)20 days then..

   According To Sum

   [tex]→\;{\sf{30x = (x+6)20}}[/tex]

   [tex]→\;{\sf{30x = 20x+120}}[/tex]

   [tex]→\;{\sf{30x-20x = 120}}[/tex]

   [tex]→\;{\sf{10x = 120}}[/tex]

   [tex]→\;{\sf{x = \frac{120}{10}}}[/tex]

   [tex]→\;{\sf{x = 12}}[/tex]

   The Original Number of Men ◕➜ [tex]\Large{\red{\mathfrak{12\;✓}}}[/tex]

   Hope It Helps You ✌️

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2. C) 12

   Description for Correct answer:

   Xmen×30days=(X+6)men×(30−10)days

   X×30=(X+6)×20

   3X=2X+12

   X=12 men

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