# Math Help - Problems Related with age.Please solve it.

1. ## Problems Related with age.Please solve it.

Plz help for my exams.Only 4 days are left try to solve the whole question please.Plz i need help.I have tried all questions but i am not getting it so plz solve that whole and all questions.

Q1)A daughter's age is one-third of her motger's age.After 12 years daughter's age will be half of mother's age.Find the present age of the daughter and her mother.

Q2)The difference between the age is of Meera and Ritu is 30 years.After 22 years Meera's age will be twice of Ritu's age.Find their present values.

Q3)A is older than B by 5 years.Seven years hence, thrice A's age shall be equal to four times that of B.Find their present ages.

Q4)A father's age is three times that of his son's age.15 years age father's age was nine times that of his son.Find their present ages.

Q5)Ramu's age is now half of his father's age.Twenty years ago,the age of Ramu's father was six tims of Ramu's age.What is ramu's age and waht is Ramu's father's age today.

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2. Originally Posted by prashantvrm
...

Q1)A daughter's age is one-third of her motger's age.After 12 years daughter's age will be half of mother's age.Find the present age of the daughter and her mother.

Q2)The difference between the age is of Meera and Ritu is 30 years.After 220 years Meera's age will be twice of Ritu's age.Find their present values.

...
to #1:
Code:
           | age today       age in 12 years
-------------------------------------------
daughter   |     x        |    x+12
mother     |    3x        |    3x+12
-------------------------------------------
The last column yields an equation in x:

$2(x+12) = 3x+12~\implies~\boxed{x=12}$

to #2: I assume thast there is a typo. If you take 22 instaed of 220 then you'll get a plausible result:

Let m, r denote to ages of Meera and Ritu respectively. Then you can set up the following system of equations:

$\begin{array}{l}m - r = 30 \\ m+22 = 2(r+22)\end{array}$

Solve for m and r. (For your confirmation only: r = 8, m = 38)

3. Originally Posted by prashantvrm
Plz help for my exams.Only 4 days are left try to solve the whole question please.Plz i need help.I have tried all questions but i am not getting it so plz solve that whole and all questions.

Q1)A daughter's age is one-third of her motger's age.After 12 years daughter's age will be half of mother's age.Find the present age of the daughter and her mother.
It is better if you post your efforts here. We will be able to guide you so that you score well in the tests.

I will show you Q1), you try the remaining and tell us if you get stuck somewhere.

Lets call daughter's age as d and mother's age as m.

A daughter's age is one-third of her mother's age
$d = \frac{m}{3} \Rightarrow m = 3d$

After 12 years.....
After 12 years, daughter's age is d+12 and mother's age m+12.

......daughter's age will be half of mother's age
So the daughters age later is half of mothers age. So

$d+12 = \frac{m+12}{2}$
$\Rightarrow m+12=2(d+12)$
$\Rightarrow m + 12 = 2d + 24$
$\Rightarrow m = 2d + 12$

Now use the first equation $m = 3d$,

$\Rightarrow m = 2d + 12$
$\Rightarrow 3d = 2d + 12$
$\Rightarrow d = 12$