there are 76 persons. 54 can read hindu, 43 can read times, 37 can read deccan and 15 can read all. if 24 can read hindu and deccan and 27 can read deccan and times then what is the number of persons who read only times and hindu. Choose the correct choice from the following answers.
A) 21	B) 22	C) 23	D) 24	E) 25
<gadget id="calculator">24 - 15</gadget>
<output>9</output>

<gadget id="calculator">27 - 15</gadget>
<output>12</output>

<gadget id="calculator">9 + 12</gadget>
<output>21</output>

<result>B</result>
there are 76 persons. 54 can read hindu, 43 can read times, 37 can read deccan and 15 can read all. if 24 can read hindu and deccan and 27 can read deccan and times then what is the number of persons who read only times and hindu.
add(subtract(24, 15), subtract(27, 15))
let ' a ' can be read hindu , let ' b ' can be read times , let ' c ' can be read deccan , from the given data : n ( aubuc ) = 76 , n ( a ) = 54 , n ( b ) = 43 , n ( c ) = 37 , n ( anbnc ) = 15 , n ( anc ) = 24 , n ( bnc ) = 27 , n ( anb ) = ? n ( aubuc ) = n ( a ) + n ( b ) + n ( c ) - n ( anb ) - n ( bnc ) - n ( anc ) + n ( anbnc ) = = > 76 = 54 + 43 + 37 - n ( anb ) - 24 - 27 + 15 = = > n ( anb ) = 54 + 43 + 37 + 15 - 24 - 27 - 76 = = > n ( anb ) = 149 - 127 = = > n ( anb ) = 22 answer : b