Question

The ratio of sakhi's age to seema's age is 3:2. Five years from now ,the ratio of their ages will be 7:5 . Find their present ages

Answer 1

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Answer 2

Answer:

Given :

The ratio of Sakhi's age to Seema's age is 3 : 2.

Five years from now, the ratio of their ages will be 7:5.

To Find :

Find Present age of both ?

Solution :

Present age of Sakhi = 3x

Present age of Seema = 2x

After 5 years,

Age of Sakhi = 3x + 5

Age of Seema = 2x + 5

According to the question :

➣ 3x + 5/2x + 5 = 7/5

Cross multiplication :

➣ 5(3x + 5) = 7(2x + 5)

➣ 15x + 25 = 14x + 35

➣ 15x - 14x = 35 - 25

➣ x = 10

Therefore,

Present age of Sakhi = 3x

Present age of Sakhi = 3 × 10

Present age of Sakhi = 30 years

Present age of Seema = 2x

Present age of Seema = 2 × 10

Present age of Seema = 20 years

Hence,

Present age of Sakhi and Seema are 30 years and 20 years.