if the smaller of two consecutive odd integers is subtracted

if the smaller of two consecutive odd integers is subtracted from twice the larger one, then the result is 13. find the integer

Solution

Let the consecutuve integers be x and x+1

smaller of two consecutive odd integers is subtracted from twice the larger one, then the result is 13

2(x+1) -x = 13

2x +2 - x =13

x+2 = 13

x = 11

x+1 = 12

So the integers are 11 and 12