Question

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


Proper answer needed!!​

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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$\red{\tt{sωєєтcнαям♡~}}$

Answer 2

ANSWER FOR YOUR QUESTION:-

Let Shriya's present age is x years. Then, Arjun's present age will be 2x years.

Five years ago,

3(x−5)=(2x−5)

3x−15=2x−5⇒x=10

Shriya's present age is 10 years.

Arjun's present age is 20 years.