Question

Reena is r years old, while her father Mr. Sunil is x?
years old. 5 year hence, Mr. Sunil will be three times
as old as Reena. Find their present ages. please help me . please give answer solutions with step by step and I will follow you as well as mark u as brianlist​

Answer 1

Correct Question :

Reena is x years old. While her father mr.sunil is x² years old.5years, hence mr sunil will be three times as old as reena.Find their present ages.

Solution :

The Present age of Reena is x years

and Present age of Mr. Sunil is x² years

After 5 years

Age of Reena= x+5 years

and Age of Mr. Sunil = x²+5 years

${\underline{\sf{According\:To\:The\: Question}}}$

After 5 years Mr. Sunil will be three times as old as Reena.Then,

$\implies\sf{x^2+5=3(x+5)}$

$\implies\sf{x^2+5=3x+15)}$

$\implies\sf{x^2+5=3(x+5)}$

$\implies\sf{x^2-3x-10=0}$

$\implies\sf{x^2-5x+2x-10=0}$

$\implies\sf{x(x-5)+2(x-5)=0}$

$\implies\sf{(x-5)(x+2)=0}$

$\implies\sf{x=5\:or\:x=-2}$

Since , age can't be negative .

Therefore ,

The Present age of Reena =x=5 years

and Present age of Mr. Sunil = x² =25 years

$\rule{200}2$

Verification :

Age of Reena = 5 year's and Mr .Sunil = 25

After 5 years Mr. Sunil will be three times as old as Reena.

Age of Mr .sunil = 3(age of Reena )

25+5= 3(5+5)

30= 30

Hence ,Proved

Answer 2

Answer :

• Present age of Reena is x years.
• Present age of Mr.Sunil is x² years.

Now,after 5 years.

• Age of Reena is x + 5 years.
• Age of Mr.Sunil is x² + 5 years.

According to the question,

➲ x² + 5 = 3(x + 5)

➲ x² + 5 = 3x + 15

➲ x² - 3x = 3(x - 5)

➲ 5x - 3x - 10 = 0

➲ x² - 5x + 2x - 10 = 0

➲ x ( x - 5) + 2(x - 5)

➲ (x + 2) (x - 5)

➲ x = 5 or x = -2

______________________....

• Age of Reena x = 5 years
• Age of Mr.Sunil 5 × 5 years = 25 years