The sum of 4 consecutive even numbers and three consecutive odd numbers is 209. If the smallest odd number is 25 less than the smallest even number, what is the largest odd number ?
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Answer:
For solving this porblem we have to
let the smallest even number is x
Sum of the 4 consecutive even numbers:
=> x+(x+2)+(x+4)+(x+6)= 4x+12
Smallest odd number: x-25
Sum of the 3 consecutive odd numbers
=> (x-25)+(x-23)+(x-21)= 3x-69
(4x+12)+(3x-69)= 209
=> 7x- 57=209
=> 7x= 266
=> x= 38
The largest odd number is (38-21)= 17
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