A picnic attracts 240 persons. There are 80 more men than women, and 80 more adults than children. How many men are at this picnic? Answers
A) 240  B) 75  C) 110  D) 120  E) 200

Rationale: "adult + children = 240 let , children = y then , adult = y + 80 i . e . y + ( y + 80 ) = 240 i . e . y = 80 i . e . adult = 80 + 80 = 160 adults include only men and women i . e . men + women = 160 let women , w = x then men , m = x + 80 i . e . x + ( x + 20 ) = 2 x + 80 = 160 i . e . x = 40 i . e . men , m = 40 + 80 = 120 answer : option d"
Answer: D