Question

Kiran is three years elder to Seema.Five years ago,three fifth of Kiran's age was equal to three fourth of Seema's age.What is the present age of kiran and Seema?

Answer 1

Kiran is 20 and Seema is 17.

Explanation:

Assume Kiran is currently K years old and Seema is currently S years old.

Based on the information provided:

Seema is three years older than Kiran: K = S + 3

Three-fifths of Kiran's age was equal to three-fourths of Seema's age five years ago:

Kiran's age five years ago was (K - 5) and three-fifths of Kiran's age is (3/5) * (K - 5).

Seema was (S - 5) five years ago, and three-fourths of Seema's age is (3/4) * (S - 5).

So here's the equation: (3/5) * (K - 5) = (3/4) * (S - 5)

We can now solve for S (Seema's age):

4 * (3/5) * (S - 2) = 3 * (S - 5)

Simplify even more:

12/5 * (S - 2) = 3 * (S - 5)

Now multiply by two:

12 * (S - 2) = 5 * 3 * (S - 5)

Expand:

12S - 24 = 15S - 75

Move all S-related terms to one side:

12S - 15S = -75 + 24

-3S = -51

Subtraction by -3:

S = 17

Now that we have Seema's age (S = 17), we can use the first equation to calculate Kiran's age:

K = S + 3 K = 17 + 3 K = 20

Kiran is currently 20 years old, and Seema is 17 years old.

Answer 2

Let's represent Kiran's present age as K years and Seema's present age as S years.

1. Kiran is three years older than Seema: K = S + 3

2. Five years ago, three-fifths of Kiran's age was equal to three-fourths of Seema's age:

Five years ago, Kiran's age was (K - 5) years.

Three-fifths of Kiran's age five years ago is (3/5) * (K - 5).

Five years ago, Seema's age was (S - 5) years.

Three-fourths of Seema's age five years ago is (3/4) * (S - 5).

So, we have the equation:

(3/5) * (K - 5) = (3/4) * (S - 5)

Now, we can use the first equation (K = S + 3) to substitute K in terms of S:

(3/5) * (S + 3 - 5) = (3/4) * (S - 5)

Simplify the equation:

(3/5) * (S - 2) = (3/4) * (S - 5)

Now, cross-multiply to get rid of the denominators:

4 * (3/5) * (S - 2) = 3 * (S - 5)

Simplify further:

(12/5) * (S - 2) = 3S - 15

Now, distribute the term on the left side:

(12/5) * S - (12/5) * 2 = 3S - 15

Simplify:

(12/5) * S - 24/5 = 3S - 15

Now, bring all the terms involving S to one side of the equation:

(12/5) * S - 3S = 15 - 24/5

Common denominator for 5 and 1:

(12S - 15S) / 5 = (75 - 24) / 5

Combine like terms:

-3S / 5 = 51 / 5

Now, solve for S:

S = (51 / 5) * (-5 / 3)

S = -17

Seema's present age (S) is -17 years, which doesn't make sense in real-life scenarios. The negative age indicates that there might be an error in the information or the formulation of the problem. Please double-check the given information or clarify if there is any additional context or constraint that might affect the solution.