Question

the ages of chini and mini are in the ratio 7:5 .four years from now the ratio of their ages will be 4:3 .find their Present ages​

Answer 1

Answer:

,

Step-by-step explanation:

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answer is correct

Answer 2

Answer:

Age of Chini = 28 years

Age of Mini = 20 years

Step-by-step explanation:

$\Large{\underline{\bf{Given:}}}$

• Ages of Chini and Mini are in the ratio 7 : 5
• Four years from now, the ratio of thei ages would be 4 : 3

$\Large{\underline{\bf{To\:Find:}}}$

• Their present ages

$\Large{\underline{\bf{Solution:}}}$

➔ Let the present age of Chini be 7x

➔ Let the present age of Mini be 5 x

➔ By given,

    Ratio of age after 4 years = 4 : 3

➔ Age of Chini and Mini after 4 years is given by,

   Age of Chini after 4 years = 7x + 4

   Age of Mini after 4 years = 5x + 4

➔ By given,

   $\sf{\dfrac{7x+4}{5x+4}=\dfrac{4}{3}}$

➔ Cross multiplying we get,

    3(7x + 4) = 4(5x + 4)

    21x + 12 = 20x + 16

    21x - 20x = 16 - 12

    x = 4

➔ Hence the value of x is 4.

➔ Therefore,

    Present age of Chini = 7x = 7 × 4 = 28 years.

➔ Hence present age of Chini is 28 years old.

➔ Present age of Mini = 5x = 5 × 4 = 20 years

➔ Hence present age of Mini is 20 years.

$\Large{\underline{\bf{Verification:}}}$

➔ Present age of Chini and Mini = 7 : 5

    28/20 = 7/5

    7/5 = 7/5

➔ Age after 4 years = 4 : 3

    28 + 4/20 + 4 = 4/3

    32/24 = 4/3

    4/3 = 4/3

➔ Hene verified.