Question

The sum of the average of three consecutive odd numbers and three consecutive even numbers is 35. if the
highest even number is 16, what is the lowest odd number
A) 21
B 23
с 17
D 19​

Answer 1

Step-by-step explanation:

Let the odd numbers be

x, x+2,x+4

Let the even numbers be

y, y+2,y+4

Given their average = 35

Highest even number = 16

ie;

y+4 =16

y+2 = 14

y= 12

So sum of all 3 even numbers = 12+14+16 = 42

(sumofodd + sumofeven) / 6 = 35

(sunofodd + 42)/6 = 35

(sumofodd +42) = 210

sumofodd = 210 - 42 = 168

x+x+2+x+4 = 168

3x+6 = 168

3x = 162

x=54

x is the lowest odd number. x = 54