Question

The age et Rahu and katu are au
in the ratio of 7:5 Ten years hence, a
the ratio of stheir ages will be 9 : 7
Find their present age :​

Answer 1

Answer:

Step-by-step explanation:

Rahu and ketu"s age = 7x,5x;

Ratio can be written as - $\frac{7x}{5x}$

After 10 yrs; $\frac{7x + 10}{5x+10}$

According to the question;

$\frac{7x + 10}{5x+10}$$=\frac{9}{7}$

$7(7x+10) = 9(5x+10)$

$49x-45x=90-70\\4x=20\\x=\frac{20}{4}\\x=5;$

Since,x=5;

Rahu = 7x = 7*5= 35 yrs.

Ketu = 5x = 5*5 = 25 yrs.

Answer 2

Let the current ages of Rahu and Ketu be x and y respectively.

Ratio is 7:5 x:y is 7:5

x/y =7/5

5x=7y

5x-7y=0 --i

After 10 yrs

The ratio is 9:7

(x+10)/(y+10) =9/7

7x+70=9y +90

Solving the above equation.

7x-9y=20—ii

Solve eq-i &eq-ii on both side.

7x-9y=20

5x-7y=0

x=7y/5

substitute the value of X in eq-ii

7*7y/5–9y=20

49y-45y=100

4y=100

y=25

x =7*25/5 = 35

Rahu  is 35yrs

Ketu  is 25yrs