Question

The ages of Sia and Anisha are in the ratio4:5. five years from now ,the ratio of
their ages will be 6: 7. Find their present ages​

Answer 1

Answer:

Sia = 10yrs. & Anisha = 12.5 yes

.........

Answer 2

Answer:

todays age of Sia be x and anishas be y

x:y = 4:5

x/y= 4/5 ...............i

then after 5 years, sias age= x+5 and anishas age = y+5

so    x+5 : y+5  =  6 : 7

x+5 / y+5  = 6/7

cross multiplying

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

7x + 35 = 6y + 30

substitute value of 'x'  from eq i,   x = 4y/5

7(4y/5) +35 = 6y +30

28y/5 + 35 = 6y +30

35- 30 = 6y - 28y/5

taking LCM of RHS & solving

5 = (30y - 28y )/5

2y = 25

y = 12.5

so Anishas age is 12.5 yrs

putting value of 'y' in eq i

x/12.5 = 4/5

x= (4 x 12.5) / 5

x= 10

so Sia's present age = 10 yrs

and Anisha's present age = 12.5 yrs.

Step-by-step explanation: