Question

7. Sum of 4 consecutive even numbers are greater than three consecutive odd numbers by 81. If sum of least odd and even number is 59, then find the sum of largest odd and even numbers. (a) 69 (b) 71 (c) 73 (d) 67 (e) None of these

Answer 1

4 consecutive even numbers are X + (X+2) + (X+4) + ( X+6) i.e. 4X + 12
3 consecutive odd numbers are Y + (Y+2) + (Y+3) i.e. 3Y + 6
given that, Sum of 4 consecutive even numbers are greater than three consecutive odd numbers by 81 so 4X + 12 = 81 + 3Y + 6 i.e.3Y + 87
=> 4X + 12 = 3Y + 87
=> 4X - 3Y = 75 
also given that sum of least odd and even number is 59, in this case it is X + Y = 59
if we solve the quadratic equations 4X - 3Y = 75  and  X + Y = 59 we will get X = 36 (Comment if you want to know how)
from X + Y = 59 if we substitute X value you will get Y = 23
so numbers are 36, 38, 40, 42 and 23, 25, 27
and the sum of largest odd and even numbers i.e. 40 + 27 is 67

Answer 2

69, leave the first few clues, its actually useless.  sum of least odd numbers x+y=59, answer to get is x+6+y+4=?, put value of x+y and you will get the answer.  the answer given is wrong.