2. 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.
Answers
Answered by
5
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
i hope this will help u :)
plz mark as brainlist....
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
i hope this will help u :)
plz mark as brainlist....
Similar questions