Question

The sum of three consecutive odd numbers and three consecutive even numbers together is 435 . Also the smallest odd number is 23 less than the smallest even number. What is the sum of the largest odd number and the largest even number?

• A. 145
• B. 147
• C. 149
• D. 151

Answer 1

Answer:

C. 149

Let smallest odd number be x. Three consecutive odd numbers are, x, x + 2 , x + 4 Smallest even number = x + 23 Three consecutive even numbers are, x + 23, x + 25, x + 27 x + x + 2 + x + 4 + x + 23 + x + 25 + x + 27 = 435 6x + 81 = 435 6x = 354 x = 59 Largest even number = 59 + 27 = 86 Largest odd number = 59 + 4 = 63 Sum of largest odd number and the largest even number = 63 + 86 = 149