Question

if completes a particlar work in 8 days and b completes the same work in 24 days how many days will it take if they work together​

Answer 1

BOTH A and B will complete the work together in 3 days .

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Answer 2

$\huge \pink \star{ \green{ \boxed{ \boxed{ \boxed{ \purple{ \mathfrak{answer :}}}}}}} \pink\star$

$\mathtt{\bf{\underline{\red{Given\: :}}}}$

A can complete the work = 8 days

B can complete the same work in = 24 days

$\mathtt{\bf{\underline{\red{According\:to\:the\:question\::}}}}$

A's 1 day work = 1 / 8 day

B's 1 day work = 1 / 24 day

A + B = ( 1 / 8 ) + ( 1 / 24 )

=> ( 1 / 8 ) + ( 1 / 24 ) [ LCM = 24 ]

=> ( 1 × 3 / 8 × 3 ) + ( 1 × 1 / 24 × 1 )

=> ( 3 / 24 + 1 / 24 )

=> 3 + 1 / 24

=> 4 / 24

=> $\sf\large\underline\blue{6}$

$\huge\underline{\underline{\texttt{\pink{A\:+\:B\:together\:=\:6\:days}}}}$