A picnic attracts 240 persons. There are 30 more men than women, and 30 more adults than children. How many men are at this picnic? Pick one.
A) 240	B) 75	C) 85	D) 130	E) 200

Rationale: "adult + children = 240 let , children = y then , adult = y + 30 i . e . y + ( y + 30 ) = 210 i . e . y = 115 i . e . adult = 115 + 30 = 145 adults include only men and women i . e . men + women = 145 let women , w = x then men , m = x + 30 i . e . x + ( x + 30 ) = 2 x + 30 = 145 i . e . x = 55 i . e . men , m = 55 + 30 = 85 answer : option c"
Answer: C