Question

The difference between the sum of four consecutive
odd numbers and three consecutive even numbers
together is 40. 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?
(2) 28
(3) 33
(5) None of these
(1) 23
(4) 30​

Answer 1

Question: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 ?

Let the consecutive odd numbers be:

x, x+2, x+4 and x+6

∴ Largest even number = x+11 and other even numbers

= x+7 and x+9

∴ x + x + 2 + x + 4 + x + 6 -(x + 7+ x + 9 + x + 11 )=20

=>x - 15 =20

=>x =15 + 20 =35

∴ Required sum = x + x + 7

=2x + 7 = 2×35+7=77