SOLUTION: The sum of Mr. Micklow and Mrs. Craft's age is 55. The difference of their age is 3. What are their ages?

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Question 1189738: The sum of Mr. Micklow and Mrs. Craft's age is 55. The difference of their age is 3. What are their ages?
Found 4 solutions by ikleyn, mananth, n2, josgarithmetic:
Answer by ikleyn(53560) About Me  (Show Source):
You can put this solution on YOUR website!
.

   Mrs. +  Mr.  = 55

    x   + (x+3) = 55

      2x        = 55 - 3

      2x        = 52

       x        = 52/2 = 26.


Mrs. is 26 years old.  Mr. is 26 + 3 = 29 years old.


CHECK.  26 + 29 = 55 years, in total.   ! Correct !

Solved.



Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
let Mr. Micklow's age be x years
and Mrs. Craft's age be y years
The sum of Mr. Micklow and Mrs. Craft's age is 55.
So x+y =55
The difference of their age is 3. What are their ages?
x-y =3
Add the two equations
we get 2x = 58
x= 58/2
x=29
substitute x
in x+y =54
29+y =55
y= 26
Mr. Micklow's age 29 years
and Mrs. Craft's age 26 years



Answer by n2(36) About Me  (Show Source):
You can put this solution on YOUR website!
.
The sum of Mr. Micklow and Mrs. Craft's age is 55. The difference of their age is 3. What are their ages?
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        Regarding this problem and its solutions in the posts by @mananth and @ikleyn (myself),
        I'd like to make one notice.


How this problem is worded,  we can not determine,  for sure,  the age of each participant.

After solving the problem,  we only can say that

        EITHER              Mr. Micklow is  29 years old and  Mrs. Craft is  26 years old,
        OR,  in opposite,  Mr. Micklow is  26 years old and  Mrs. Craft is  29 years old,

In both cases,  the statements of the problem are true,  so both versions work well as answers.

As the problem is worded,  it does not allow to determine their ages in more precise way.



Answer by josgarithmetic(39718) About Me  (Show Source):
You can put this solution on YOUR website!
system%28m%2Bc=55%2Cm-c=3%29

2m=58
m=29 and c=26

OR

system%28m%2Bc=55%2C-m%2Bc=3%29

2c=58
c=29 and m=26

One of them is 26 and the other is 29.