Question

Four years ago, the ages of Raju and Rahul were in the ratio 3:8. Five years
hence, their ages will be in the ratio3:5. Find their present ages.
is 72 nd their​

Answer 1

Answer:

Their present ages are 10 and 20

Step-by-step explanation:

Let the present ages of Raju and Rahul be x and y respectively.

As per given data,

(x-4):(y-4)=3:8

Then,

x-4=3k and y-4=8k

x=3k+4 and y=8k+4

Also,

(x+5):(y+5)=3:5

$\frac{x+5}{y+5}=\frac{3}{5}$

$\frac{3k+4+5}{8k+4+5}=\frac{3}{5}$

$\frac{3k+9}{8k+9}=\frac{3}{5}$

$\implies\:5(3k+9)=3(8k+9)$

$\implies\:15k+45=24k+27$

$\implies\:18=9k$

$\implies\:k=2$

x=3(2)+4=6+4=10

y=8(2)+4=16+4=20

Therefore their present ages are

10 and 20