Question

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gita is three times as old as her son.Five years later gita will be two and a half times as old as her son.Find their present ages.

Answer 1

Heya !

Here's your answer !!

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Let the son's present age be x years

Gita's present age = 3x years


Five years later,

Son's age = ( x + 5 ) years

Gita's age = ( 3x + 5 ) years


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A.T.Q.

The Equation Formed :



$= > \: 3x \: + \: 5 \: = \: 2 \frac{1}{2} \: ( \: x \: + \: 5 \: ) \\ \\ = > \: 3x \: + \: 5 \: = \: \frac{5}{2} \: ( \: x \: + \: 5 \: ) \\ \\ = > \: 3x \: + \: 5 \: = \: \frac{5x}{2} \: + \: \frac{25}{2} \\ \\ = > \: 3x \: - \: \frac{5x}{2} \: = \: \frac{25}{2} \: - \: 5 \\ \\ = > \frac{6x \: - \: 5x}{2} \: = \: \frac{25 \: - \: 10}{2} \\ \\ = > \: x \: = \: \frac{15}{2} \: \times \: 2 \\ \\ = > \: x \: = \: 15 \: years$


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Ans ) Son's present age is 15 years

Ans ) Gita's present age is

=> 3 × 15

=> 45 years


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Thanks !!

Answer 2

ANSWER !!

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Let the son's age be a

Gita's age = 3a

5 years later ,

The son's age = a + 5

Gita's age = 3a + 5


A.T.Q.

3a + 5 = 5/2 ( a + 5 )

3a + 5 = 5a/2 + 25/2

3a - 5a/2 = 25/2 - 5

a/2 = 15/2

a = 15

Son's age = 15 years

Gita's age = 45 years

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