Question

The ratio of age of Shivani and Shivani is 5 ratio 7 , after 4 years the ratio of their age will be 3 ratio 4 find their present age

Answer 1

Answer:

shivani1's present age = 20

shivani2's present age = 28

Step-by-step explanation:

ratio of Present age of shivani1 and shivani 2  =   5x : 7x

after four years,

ratio of their ages   =   (5x+4) : (7x+4)

              3 : 4          =   (5x+4) : (7x+4)

            3(7x+4)       =    4(5x+4)

               21x + 12    =    20x + 16

              21x - 20x   =   16 - 12

                       x       =     4

Answer 2

$\boxed{ \large{ \bf{question}}}$

The ratio of age of Shivani and Shravani is 5:7 , after 4 yrs the ratio of their age will be 3 : 4 . find their present ages.

$\boxed{ \large { \bf{solution}}}$

Let, the present age of Shivani= 5 x yrs

and, present age of Shravani = 7 x yrs

___________________________________

Then,

age of shivani 4 yrs later = 5 x + 4 yrs

and

age of Shravani 4 yrs later = 7 x + 4 yrs

___________________________________

Given that the ratio of their ages 4 years

later will be 3:4

therefore,

$\bf \: \frac{5x + 4}{7x + 4} = \frac{3}{4} \\ \\ \bf \: cross \: multiplying \\ \\ \bf \: 20x + 16 = 21x + 12 \\ \\ \boxed{ \bf x = 4}$

So,

present age of Shivani = 5x = 5×4 = 20 yrs

and

present age of Shravani = 7x = 7×4 = 28 yrs.