Question

Find

two consecutive numbers
odd numbers such that the
sum of the
greater number
and 5 times the smaller
number is 92. Please give detailed step by step answer​

Answer 1

Maths

Explanation:

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

Required

Find x and y

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

Substitute y + 2 for x in

Collect Like Terms

Divide both sides by 6

Substitute 15 for y in

Hence; the two odd numbers are 15 and 17

Answer 2

The two odd numbers are 15 and 17

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

`(6y)/(6) = (90)/(6)`

`y = (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