Question

Question #1a598

Answer 1

Write equation using symbols x for first unknown number and x+1 for second unknown number, then solve.

Explanation:

`x + (x+1) = 17`
`2x+1 = 17`
`2x = 16`
`x=8`

Answer 2

`8" and "9`

Explanation:

`"let the two numbers be "x" and "y" then"`

`x-y=1color(white)(x)to(1);x>y`

`x+y=17to(2)`

`"adding equations "(1)" and "(2)" term by term "`
`"will eliminate y"`

`(x+x)+(cancel(y-y)^0)=(1+17)`

`rArr2x=18`

`"divide both sides by 2"`

`(cancel(2) x)/cancel(2)=18/2`

`rArrx=9`

`"substitute "x=9" into equation "(2)`

`9+y=17`

`rArry=17-9=8`

`"the two numbers are 8 and 9"`