Question

Meena’s father’s present age is six times Meena’s age. Five years from now she will be one-third of her father’s present age. What are their present ages?

Answer 1

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Answer 2

$\pink{\bigstar}$ Let Meena’s age be a years.

According to the question, her father’s age will be 6a years.

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$\green{\bigstar}$ It is given that, after 5 years, Meena’s age will be ⅓ of her father’s present age.

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$\pink{\bigstar}$ So, Meena’s age after 5 years :

$\sf \dashrightarrow \: \lgroup a + 5 \rgroup \: years$

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$\green{\bigstar}$Forming the equation accordingly :

$\sf \dashrightarrow \: \lgroup a + 5 \rgroup= \dfrac{6a}{3}$

$\sf \dashrightarrow \: 3 \: \lgroup a + 5 \rgroup = 6a$

$\sf \dashrightarrow \: 3a + 15 = 6a$

$\sf \dashrightarrow \: 3a - 6a = - 15$

$\sf \dashrightarrow \: - 3a = - 15$

$\sf \dashrightarrow\: a = \cancel\dfrac{ - 15}{ - 3}$

$\pmb{ \sf \dashrightarrow \: a = 5 \: years}$

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$\pink{\bigstar}$ Substituting a = 5 and finding her father’s age :

$\sf \dashrightarrow \: 6a \: years$

$\sf \dashrightarrow \: 6 \: \lgroup5 \: years \rgroup$

$\pmb{\sf \dashrightarrow \: 30 \: years}$

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$\green{\bigstar}$ Therefore, the present ages of Meena and her father are 5 and 30 years respectively.