Mr. Gilliam is 3 years younger than his wife. The sum of their ages is 95. How old is Mr. Gilliam?

1 Answer

Answer:

I'll try to explain in the simplest way possible (hopefully :P)

Explanation:

Let's make Mr Gilliam's age #g# and his wife's age #w#.
From your question, we can understand that #g# is 3 less than #w#.

In equation form, this can be written as:
#g+3=w#
or
#g=w-3#

So far so clear?
Next, we know that the sum of #g# and #w# is 95.

In equation form, this will be written as:
#g+w=95#

Now, here's the trick. You need a change in perspective.
We know that #g+3=w# and #g+w=95#, right?

Therefore, #g+w=95# can also be written as #g+(g+3)=95#.
Does that make sense?

If it does, then the equation will become:
#2g+3=95# (because you had two #g#s)

After shifting the numbers around a little as below, you will arrive at the answer:
#2g+3-3=95-3#
#2g=92#
#(2g)/2=92/2#
#g=46#

Therefore, Mr. Gilliam is 46 years old. I hope this helps!