SOLUTION: Bob is fifteen years older than Ray. If twenty-four times Bob's age plus eighteen times Ray's age equals twenty-seven times Bob's age. What year was Bob born? I need you to expl

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Question 262936: Bob is fifteen years older than Ray. If twenty-four times Bob's age plus eighteen times Ray's age equals twenty-seven times Bob's age. What year was Bob born?
I need you to explain how you get the answer and what the answer is i know the answer but i do not know how to get it please explain.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Bob

Write: 

B

is

"Is" is equals, so you have 

B =

fifteen years older than Ray.

So now you take Ray's age and add 15 onto it, and you have

B = R + 15

That's the first equation.

If twenty-four

We write: 

24

times

Now we have

24*

Bob's age

Now we have 

24*B

plus

Now we have

24*B +

eighteen times Ray's age

Now we have 

24*B + 18*R

equals

Now we have 

24*B + 18*B =

twenty-seven times Bob's age.

Now we have 

24*B + 18*R = 27*B

You can take out those *s

24B + 18R = 27B

So you have the system:

red%28system%28B+=+R+%2B+15%2C+24B+%2B+18R+=+27B%29%29

Can you simplify that and solve it? If you can't
post again. But I'll bet you can.

Bob is 18 and Ray is only 3.  This year is 2010 so Ray 
must have been born in the year 1992.

Edwin