Question

Arjun is twice as old as shriya. Five years ago his age was three times Shriya's age.​

Answer 1

Correct question:-

$\tt\longrightarrow{}$ Arjun is twice as old as Shriya. Five years ago his age was three times Shriya's age. Find their present ages.

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Given:-

• Arjun is twice as old as Shriya.
• Five years ago his age was three times Shriya's age.

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To find:-

• Their present ages.

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Solution:-

★ Let us take Shriya's present age to be x years.

★ Then Arjun's present age would be 2x years.

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$\star{\boxed{\sf{\orange{Shriya's\: age\: five\: years\: ago\: was (x - 5) years.}}}}$

$\star{\boxed{\sf{\purple{Arjun's\: age\: five\: years\: ago\: was (2x - 5) years.}}}}$

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※ It is given that Arjun's age five years ago was three times Shriya's age.

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Thus,

$\large{\tt{\longmapsto{2x - 5 = 3(x - 5)}}}$

$\large{\tt{\longmapsto{2x - 5 = 3x - 15}}}$

$\large{\tt{\longmapsto{15 - 5 = 3x - 2x}}}$

$\boxed{\large{\tt{\longmapsto{\red{10 = x}}}}}$

So,

Shriya's present age:-

$\large{\tt{\longmapsto{x = 10~ years.}}}$

Therefore,

Arjun's present age:-

$\large{\tt{\longmapsto{2x = 2 × 10 = 20~years.}}}$

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Answer 2

Correct Question

• Arjun is twice as old as Shriya. Five years ago his age was three times Shriya's age. Find their present age.

⠀

Given

• Arjun is twice as old as Shriya.
• Five years ago his age was three times Shriya's age.

⠀

To find

• Their present age.

⠀

Solution

• Let the present age of Shriya be x years.

Then,

• Age of Arjun will be 2x.

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★ Five years ago

• Age of Shriya = (x - 5) years.
• Age of Arjun = (2x - 5) years.

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According to the question

• Five years ago Arjun's age was three times Shriya's age.

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Therefore,

$\tt:\implies\: \: \: \: \: \: \: \: {3(x - 5) = 2x - 5}$

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$\tt:\implies\: \: \: \: \: \: \: \: {3x - 15 = 2x - 5}$

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$\tt:\implies\: \: \: \: \: \: \: \: {3x - 2x = 15 - 5}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x = 10}$

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Hence,

$\tt\longmapsto{}$ Present age of Shriya = 10 years.

$\tt\longmapsto{}$ Present age of Arjun = 20 years.

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