# Question #fa62b

##### 1 Answer

Jan 20, 2018

#### Explanation:

#"consecutive odd integers are separated by 2 units"#

#"let the integers be "n" and "n+2" where "n+2>n#

#rArrn+2=2n-1larrcolor(blue)"one less than twice the smaller"#

#"subtract n from both sides"#

#cancel(n)cancel(-n)+2=2n-n-1#

#rArr2=n-1#

#"add 1 to both sides"#

#rArr3=n#

#n+2=3+2=5#

#"the 2 integers are 3 and 5"#