Question

The present ages of Ramesh and Seema are in the ratio 7 : 5. Six years hence, their ages will be in the ratio 5 : 4. Find their present ages.

Answer 1

Answer:

The present ages of Ramesh and Seema

$\frac{r}{s} = \frac{7}{5}$

After six years

$\frac{r + 6}{s + 6} = \frac{5}{4} \\ \\ 4r + 24 = 5s + 30 \\ \\ put \: r = \frac{7}{5} s$

$4r + 24 = 5s + 30 \\ \frac{28}{5}s - 5s = 6 \\ 3s = 30 \\ s = 10 \\ \\ and \\ \\ r = 14$

The present ages of Ramesh =14 years and Seema = 10 years

Answer 2

Step-by-step explanation:

let age of ramesh = 7x

let age of seema =5x

ratio is 7:5 so 7x and 5x

also

six years hence

their age

ramesh =7x+6

seema =5x+6

atq

7x+6/5x+6 = 5/4

4(7x+6)=5(5x+6)

28x+24=25x+30

3x=6

x=2

ramesh present age = 14

seema=10