Question

Question!

7.) 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.
(Ans : 30 years, 20 years)

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Answer 1

Answer:

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.

20 years

Answer 2

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.