Ten times the sum of half a number and 6 is 8. What is the number?

1 Answer
Sep 8, 2016

#x=58/5#

Explanation:

Let the unknown number be represented by #x#

Breaking the question down into its component parts:

10 times: #-> 10xx#

The sum of: #->10xx(?+?)#

half a number: #->10xx(x/2+?)#

and 6: #->10xx(x/2+6)#

is 8 : #->10xx(x/2+6)=8#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#10(x/2+6)=8#

Multiply out the bracket

#5x+60=8#

Subtract 60 from both sides

#5x=58#

Divide both sides by 5

#x=58/5#