The two odd numbers are 15 and 17
Step-by-step explanation:
Given
Let the odd numbers be represented with x and y
Let x be the greater number
![x + 5y = 92](/tpl/images/0717/7585/399f4.png)
Required
Find x and y
Since x and y are consecutive odd numbers and x is greater, then
![x = y + 2](/tpl/images/0717/7585/af0cb.png)
Substitute y + 2 for x in ![x + 5y = 92](/tpl/images/0717/7585/399f4.png)
![y + 2 + 5y = 92](/tpl/images/0717/7585/88b6c.png)
Collect Like Terms
![y + 5y = 92 - 2](/tpl/images/0717/7585/3e8cf.png)
![6y = 90](/tpl/images/0717/7585/a0eac.png)
Divide both sides by 6
![\frac{6y}{6} = \frac{90}{6}](/tpl/images/0717/7585/4b3fc.png)
![y = \frac{90}{6}](/tpl/images/0717/7585/8dcc4.png)
![y = 15](/tpl/images/0717/7585/53375.png)
Substitute 15 for y in ![x = y + 2](/tpl/images/0717/7585/af0cb.png)
![x = 15 + 2](/tpl/images/0717/7585/04595.png)
![x = 17](/tpl/images/0717/7585/f10fd.png)
Hence; the two odd numbers are 15 and 17