The difference between the sum of four consecutive odd numbers and three consecutive even numbers together is 20. Also, the largest even number is 5 more than the largest odd number. What is the sum of the smallest odd number and the smallest even number?
Explanation
Let the consecutive odd numbers be x,(x+2),(x+4) and (x+6)
The largest even number= x+11 and the other even numbers =x+7, x+9 and (x+11)
⇒ x+(x+2)+(x+4)+(x+6)-((x+7)+(x+9)+(x+11))=20
⇒ x-15=20
⇒ x=15+20=35
∴ Required sum is =x+(x+7)
= 2x+7=2×35+7=77.
Hence, Option B is correct.
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