Question

4.Rama is twice as old as Shriya. Five years ago his age was three times Shriya’s age. Find Rama’s present ages.

10years

20years

15years

None of these


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Answer 1

Given :-

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

To Find :-

• Rama's present age

Solution :-

★ Let the present ages of Shriya be x and Rama be 2x

• 5 years ago
• Shriya's age = x - 5
• Rama's age = 2x - 5

According to Question :-

→ 3(x - 5) = 2x - 5

→ 3x - 15 = 2x - 5

→ 3x - 2x = 15 - 5

→ x = 10

Hence,

• Present age of Rama's = 2x = 20 years

Answer 2

$\huge\underline\mathtt{Given}$

• Rama is twice as old as Shriya.
• Five years ago his age was thrice times of Shriya's age

$\huge\underline\mathtt{To~Find}$

• Rama's age.

$\huge\underline\mathtt{Solution}$

Let the present ages of Shriya and Rama be x and 2x.

Five years ago Rama's age was = x-5

And Shriya's age was = 2x-5

By condition,

3(x-5) = (2x - 5)

⤍3x - 15 = 2x - 5

⤍3x - 2x = - 5+15

⤍x = 10

Therefore ,the present age of Rama is

= 2x

= 2×10

= 20

$\huge\underline\mathtt{ThankYou}$