Question

Vivian is four times as old as Danial. After 5 years, he will be thrice as old as Daniel.
Find the present age of Vivian

Answer 1

☆ Vivian's age = 40 years ☆

E x P l a n a t i o n :

Given:

• Vivian is four times as old as Daniel. After five years, he will be thrice as old as Daniel.

To find:

• The present age of Vivian?

Solution: Let the present age of Daniel be x years.

⇥ Vivian age = 4 times as Daniel age

⇥ Vivian age = 4x

Their ages After five years,

• Vivian's age = (4x + 5)
• Dainel's age = (x + 5)

Given that$,$

• After five years, the age of Vivian will be thrice the age of Daniel. Therefore,

★ Vivian's age = 3(Dainel's age) ★

➟ (4x + 5) = 3(x + 5)

➟ 4x + 5 = 3x + 15

➟ 4x – 3x = 15 – 5

➟ x = 10

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━

Therefore,

• Dainel's age, x = 10 years
• Vivian's age, 4x = 4(10) = 40 years

∴ Hence, the present age of Dainel and Vivian age is 10 years and 40 years.

Answer 2

Answer:

$\huge \sf{\underbrace{\underline{Answer: -}}}$

Given :-

• Vivian is four times as old as Daniel.After 5 years , he will be thrice as old as Daniel.

○To prove :-

• Find the present age of Vivian.

○Explanation :-

• Now let the present age of Daniel be x years.
• According to the given question,
• Vivian's age is=4times as old as Daniel.
• Vivian's age=4x years.

○And also given ,

• After 5 years becomes

• Vivian's age=4x+5
• Daniel's age=x+5

○Therefore ,

• Vivian's age=3 (Daniels age)
• (4x+5)=3 (x+5)
• 4x+5 =3x+15
• 4x-3x =15-5
• x = 10.

○Hence,

• Daniel's age x==10 years.
• Vivian's age=4x=4 (10)=40years.

• Here, Vivian's age is 40 years.

• This is the correct answer for your question.

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