Question

Raman's present age is three times his daughter's and
nine-thirteenth of his mother's present age. The sum of
the present ages of all three of them is 125 years. What is
the difference between the present ages of Raman's
daughter and Raman's mother?

Answer 1

please help me

Answer 2

help me

Answer 3

InsanelyChaotic can u help me out this problem

Answer 4

Let's give this a try.

Answer 5

Let R's daughter's age be represented by x.

Answer 6

>Raman's present age is three times his daughter's

So, R = 3x because the daughter's age is x and R's age is 3 times that of his daughter.

Answer 7

> R's age is nine-thirteenth of his mother's

R = 9/13 * M where M is R's mother's current age

But R = 3x.

Answer 8

R = 9/13 * M
3x = 9/13 * M

Solve for the Mother's age in terms of x.

Answer 9

3x = 9/13 * M

(13/9) * (3x) = (13/9)* (9/13) * M

(39/9) x = 1* M

(39/9) x = M

Answer 10

> The sum of the present ages of all three of them is 125 years.
--------------------
R + D + M = 125

3x + x + (39/9) x = 125

Solve for x.

Answer 11

Then, back substitute to get the ages of the daughter and the mother and subtract.
@genita

Answer 12

Solve the following for R, D and M:\[\left\{R=3D,R=\frac{9}{13}M,R+D+M=125\right\}\]\[\{R=45,D=15,M=65\} \]