Two years ago the ratio of sarita age and supriya age was3:8 . Four years hence the ratio of there age will be 4:9what is the present age of sarita
Answers
Answer:
Let the present age of Sarita be x and present age of Supriya be y.
Two years ago, Sarita's age = x-2
Two years ago, Supriya's age = y-2
Ratio of their ages, as was two years ago,
(x-2)/(y-2) = 3/8
=> 8x - 16 = 3y - 6
=> 8x - 3y = 10........ eqn (1)
Four years hence, Sarita's age= x+4
Four years hence, Supriya's age = y+4.
Ratio of their ages, four years hence is,
(x+4)/(y+4) = 4/9
=> 9x + 36 = 4y + 16
=> 9x - 4y = -20........ eqn (2)
Solving 1 and 2,
Multiplying eqn 1 with 4 and eqn 2 with 3.
The eqns are :
32x - 12y = 40......eqn (3)
27x - 12y = -60......eqn (4)
Subtracting, eqn (3) - eqn (4)
5x = 100
=> x= 20.
Hence, Sarita's present age is 20.
Guess this is it!! Hope this helps
___ ☆ ____ ☆ _____
Two years ago the age ratio of sarita and Supriya was 3:8
Let common ratio be x
Age of Sarita ⇒ 3x + 2 + 4
Age of Supriya ⇒ 8x +2 + 4
⇒ Ratio = 4 : 9
⇒ 9 ( 3x + 6 ) = 4 ( 8x + 6 )
⇒ 27x + 54 = 32x + 24
⇒ 54 - 24 = 32x - 27x
⇒ 30 = 5x
⇒
Now,
⇒ 3 ( 6 ) + 2
⇒ 18 + 2
=> 20 years