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algebra question ,can u solve by method?
A says to B ,"when i was of your age, i was 5 times old as you were" and the sum of there present ages is 28.find there present ages?
I KNOW BY HIT AND TRIAL THE ANSWER IS OBVIOUSLY 18 AND 10 ,BUT I NEED COMPLETE SOLUTION ,thanx for the answer in advance
here question means that,
when "A was of B's age" ,that simply implies A is older than B,and A is talking about the time when he was of the age of B, suppose A's age is
100 and B is 90 then ,his statemant simply means 10 years ago.........
here present ages are taken under consideration
the 5 times.... line means that some years back A's age was 5 times of B
the 5 times.... statement means some years back A's age was 5 times of B's age at that time
5 Answers
- 1 decade agoFavorite Answer
let the present ages be
x for A
y for B
so x + y = 28.............(1)
now when A was of B's age that is (x -y) years ago
the ages would be
for A x - (x - y)
= y (obviously)
for B y - (x - y)
= 2y - x
now acc. to ques
y = 5 ( 2y - x)
y = 10y - 5x
5x - 9y = 0
x = 9y/5..............................(2)
putting values of x in (1)
9y/5 + y = 28
14y/5 = 28
y = 10
and also x = 28-10 =18
there fore A's present age is 18 years
and of B is 10 years
i hope, now you got the full solution
- Anonymous1 decade ago
A=5B
A+B=28
A=28-B
A=A so...
5B=28-B
6B=28
B=28/6
A= (28/6)*5=140/6
Convert to Years and Months:
A=140/6 = 23 Years, 4 Months
B=28/6 = 4 Years, 8 Months
- 1 decade ago
What!??? if i understood correctly you asked what is "a" and "b"
in a + b=28
5b=a
if that is right then you simply subtract b from the first equation to make it a=28-b, then you put both equations together like this --> 28-b=5b (because both equations are equal to a)
then you add b to both sides to make it 28=6b (5b + 1b = 6b)
then you divide both sides by 6 and get b=4.6666....
which is 4yrs 8 months
then you plug in 4.666... in to one of the original equations and get a=23.3333...
- 1 decade ago
Let A be x yrs and B be y yrs (present)
x+y=28
y=28-x
A was of B's age (x-y) yrs ago
y=5(x-y)
y=5x-5y
6y=5x
6(28-x)=5x
168-6x=5x
168=11x
x=
Sorry im lost..i tried ver hard though..
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- *Facepalm*Lv 51 decade ago
"When I was your age, I was 5 times old as you were"
That makes NO sense...