This is the solution to the algebra age problem # 4... "A man is 27 years older than his son and 10 years from now, he will be twice as old as his son. how old is each now?"
Let x = the son and x + 27 = the man(father)
in 10 years the son will be x + 10 and the father x + 27 + 10 or x + 37 years old. So if he will be twice as old as his son then "twice" the sons age then will "equal" each other.
So, 2(x+10) = x + 37
multiply by 2 on the left side
2x + 20 = x + 37
x = 17 This makes sense since 10 + 17 = 27 and 17 + 37 = 54 which is twice the sons age 10 years from now. So the son is 17 and the father is 17 + 27 or 44 years old.
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ReplyDeletei need help on a crazy type of word problem. HELP ME!! im stuck with out an efficient way of solving it.
ReplyDeleteJim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Ok I submitted the problem and answer on here go to the main page
ReplyDeletePol is 10 years younger than greg. In 7 years, he will be 10 years more than one halfas old as greg. Find their age at present. help me solve it.
ReplyDeleteOk I will help you but for future reference would you mind posting this on the problem side under where you post questions. Thanks. I will post this as a new problem on the problem side here soon.
ReplyDeletei solved it before i looked at the solution.
ReplyDeletemy answer for the kid is 9 and 36 for the father.
in present time their age is
F = S + 27
and for the future
F + 10 = 2S + 10
using matrix or determinance u will get
the age of 9 for his son and 36 for his father.
REMEMBER THE NOTE THAT THE ''he(the father) will be twice as old as his son.
TO CHECK.
9 x 2 = 18
36/2 = 18
^^, hope i helped you confuse your mind lol XDD
The answer in work problem is 15mins.
ReplyDeletePol is 10 years younger than greg. In 7 years, he will be 10 years more than one halfas old as greg. Find their age at present. help me solve it.\]
ReplyDeletethis the answer and the solution.
P=G-10
P+7=1/2G+10
It will become P=G-10 and P-1/2G=3
substitute the P and it will become
G-10-1/2G=3 (You should make the fraction into decimal and it will become 0.5G)
G-10-0.5G=3 transpose the same variable
since we will minus 0.5 from 1 it will become 0.5 so it will become 0.5G=13 now you should make the 0.5 to 1 because we can't divide it so we should times the both side to 0.2 so it will become G=26 <<<<< this is for Greg and we should get the age of Pol. Just substitute it to the equation
so P=16 and G=26
sorry for my wrong grammars because Im a Pilipino and I'm only 8th grader hope you understand my ans.
for table method.
ReplyDeletepresent future
man 27+x 27+x+10
Son x 2(x+10)
27+x+10 = 2(x+10)
37+x = 2x+20
37-20 = 2x-x
x= 17
therefore the present age of son now is 17. then the present age of a father is 27+17=44
i have this computations:
ReplyDeletePresent:
Man=27+son's age --->27+x
Son=x;
In 10 yrs:
Man=2(x+27+10)
son=x+10
27+x+10=2(x+10)(twice the son's age in 10 yrs)
37+x=2x+20
-x=-17
x=17; age of the Son
SOn= 17 yo now
if the Present age of the Man is 27+Son
therefore:
Man=27+17
Man=44
K.
ReplyDeleter told s, i was 10 years older than you are now, when you were born. My present age is 50 yrs . Find s's present age ??
ReplyDelete