If a and c are positive integers and 4a + 3 = b and 4c + 1 = d, which of the following could be the value of b + d? (A) 46 (B) 58 (C) 68 (D) 74
(E) 82

• Answer is option C.
  
  adding both b+d = 4a+3+4c+1
  b+d = 4(a+c+1)
  it means b+d should be be multipleor divisible of 4.
  68 mod 4 = 0
• 3 years agoHelpfull: Yes(0) No(0)
• given
  
  4a + 3 = b ==> (1)
  4c + 1 = d ==> (2)
  ----------------------- (add)
  4 ( a + b + 1) = b + d
  
  which means (a + b + 1) must divisible by 4 so 68 is ans
• 3 years agoHelpfull: Yes(0) No(0)