SOLUTION: my question is: max and kay are cousins. the sum of their ages are 25. kay is two years less than twice the age of max. how old is max? if you can please help me solve this i w

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Question 500741: my question is:
max and kay are cousins. the sum of their ages are 25. kay is two years less than twice the age of max. how old is max?
if you can please help me solve this i would be really grateful. if you have time can you please show the work cause i never understand these problems. thank you for your time
Found 3 solutions by ankor@dixie-net.com, Earlsdon, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let m = Max's age
Let k = Kay's age
:
Write an equation for each statement:
:
" the sum of their ages are 25."
m + k = 25
:
"kay is two years less than twice the age of max."
k = 2m - 2
:
Look at the first equation, replace k with (2m-2)
m + (2m-2) = 25
3m = 25 + 2
3m = 27
m = 27%2F3
m = 9 yrs is Max's age which is what they ask for
:
:
But to check this out find Kay's age also
k = 2(9) - 2
k = 18 - 2
k = 16 yrs is Kay's present age
Confimr this by finding the sum
9 + 16 = 25, agrees with the 1st statement
:
Was this detailed enough to see a method for doing these type problems?



Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let K = Kay's age and M = Max's age.
highlight%28K%29%2BM+=+25 "...the sum of their ages (is) 25."
highlight%28K+=+2M-2%29 "Kay is two years less than twice the age of Max." Substutute this into the first equation.
highlight%28%282M-2%29%29%2BM+=+25 Simplify and solve for M.
3M-2+=+25 Add 2 to both sides.
3M+=+27 Divide both sides by 3.
M+=+9
Max is 9 years old.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = Max's age now
Let +k+ = Kay's age now
given:
(1) +m+%2B+k+=+25+
(2) +k+=+2m+-+2+ ( Kay is two years less than twice the age of Max. )
----------------
This is 2 equations with 2 unknowns, so it's solvable
Subtract +k+ from both sides of (2)
(2) +0+=+2m+-+k+-+2+
Add +2+ to both sides of (2)
(2) +2m+-+k+=+2+
Now add equations (1) and (2)
(1) +m+%2B+k+=+25+
(2) +2m+-+k+=+2+
+3m+=+27+
+m+=+9+
and, since
(1) +m+%2B+k+=+25+
(1) +9+%2B+k+=+25+
(1) +k+=+16+
Max is 9