Question

Find pair of consecutive odd natural numbers, both of which are larger than 13 such that their sum is less than 40

• A. (15, 17)
• B. (13, 17)
• C. (19, 21)
• D. (21, 17)

Answer 1

Answer: (A)

(15, 17)

Let the consecutive odd numbers be $x,x+2$
Given, $x>13$ -- (1)
Also, $x+2>13$
$x>11$ -- (2)
And $x+x+2<40$
$2x+2<40$
$2x<38$
$x<19$ -- (3)
From, $1,2,3$
$13<x<19$
This means, the numbers are $15,17$