could someone help me with this math problem?

Question

If one sixth of the sum of a number and 11 is 15 less than that number, what is the number?

 

 

Answer 1

The first thing you should do is write out the equation, just write it out step by step.

 

one sixth of the sum of a number: ((1/6)X)+

and 11: ((1/6)X)+11

is 15 less than that number((1/6)X)+11=X-15

 

So the equation is ((1/6)X)+11=X-15 now you just solve for X. So you need to get all your X's on one side of the equation so you subtract ((1/6)X) from both sides to get 11=((5/6)X) -15. Now add 15 to both sides to get 26=((5/6)X). Lastly you need to get X all by itself so you divide both sides by (5/6) and find that 31.2=X. To check your answer just plug 31.2 back into the original equation to see if both sides are equal.

 

((1/6)31.2)+11=31.2-15 and you get 16.2=16.2