Question

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.

Answer 1

Let the 4 consecutive even numbers be x , x + 2 , x + 4 , x + 6

         sum of least odd and even number is 59

                                  least odd number + x = 59

                                       least odd number = 59 - x

hence the three consecutive odd numbers are 59-x , 61 - x , 63-x

hence sum of largest odd number and even number = x+6+63-x

                                                                                             = 69