Question

Present age of veena's mother is four times veena's age. 5
Five years hence, her age will be 21 years more than veena's age. Find their present ages ?​

Answer 1

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$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

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$\sf{\underline{\green{AnswEr:-}}}$

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• The present age of Veena = 7 years
• The present age of Veena's mother = 28 years

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$\sf{\underline{\green{Given:-}}}$

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• Present age of veena's mother is four times veena's age.Five years hence, her age will be 21 years more than veena's age.

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$\sf{\underline{\green{Find:-}}}$

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• The present age of Veena = ?
• The present age of Veena's mother = ?

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$\sf{\underline{\green{Explanation:-}}}$

Let present age of Veena = y years

And, Veena's mother's age = 4y years

$\:\:\:\:\dag\bf{\underline{\underline \red{After\: five\: years:-}}}$

• Veena's age = (y + 5) years
• Mother's age = (4y + 5) years

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$\sf{\underline\pink{A.T.Q:-}}$

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$\longrightarrow \sf {4y + 5 = y + 5 + 21}$

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$\longrightarrow \sf {3y = 21}$

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$\longrightarrow \sf {y = \cancel\dfrac{21}{3} }$

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$\longrightarrow \sf {y = 7}$

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$\:\:\:\:\dag\bf{\underline{\underline \red{Hence:-}}}$

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• Present age of Veena's = 7 years

• Present age of Veena's mother = 7 × 4

• Present age of Veena's mother = 28 years

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$\rule{200}{2}$

Answer 2

Let present age of Veena = y years

And, Veena's mother's age = 4y years

After five years:−

Veena's age = (y + 5) years

Mother's age = (4y + 5) years

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A.T.Q:−

⟶ 4y+5=y+5+21

⟶3y=21

⟶y= 3/21

y =7

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Hope it will be helpful :)⚡