Question

Find

Answer 1

Answer:

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

$x + 5y = 92$

Required

Find x and y

Since x and y are consecutive odd numbers and x is greater, then

$x = y + 2$

Substitute y + 2 for x in $x + 5y = 92$

$y + 2 + 5y = 92$

Collect Like Terms

$y + 5y = 92 - 2$

$6y = 90$

Divide both sides by 6

$\frac{6y}{6} = \frac{90}{6}$

$y = \frac{90}{6}$

$y = 15$

Substitute 15 for y in $x = y + 2$

$x = 15 + 2$

$x = 17$

Hence; the two odd numbers are 15 and 17