Math, asked by DarkRay4101Z, 10 months ago

20. Age of Nayana is thrice of the age of Ananya. After 5 years, age of Nayana
will be 5/2 times of the age of Ananya. Find their present age.​

Answers

Answered by ps968296
5

Answer:

Age of Nayana = 45 Years

Age of Ananya = 15 Years

Step-by-step explanation:

Let's :-

Present Age Of Nayana be x

Then, Ananya Present Age be y

 \rule{200} {2}

Given =>

  • Age of Nayana is thrice of the age of Ananya.

 \rule{200} {2}

Solution :-

Then,

  • X = 3y .............(i)

 \rule{200} {2}

❇️After 5 Years

  • X+5 = 5/2(y+5) ................ (ii)
  • From equation (i)
  • 3y+5=5y+25/2
  • 2(3y+5)=5y+25
  • 6y+10=5y+25
  • 6y-5y=25-10
  • Y=15 {put in (i)}

Then,

  • X=3×15
  • X=45

 \rule{200} {2}

 \large {\boxed {\bold {\red {Age\:of\:Nayana\:=\:45 Years}}}}

 \large {\boxed {\bold {\</strong><strong>purple</strong><strong> {Age\:of\:</strong><strong>Ananya</strong><strong>\:=\:</strong><strong>1</strong><strong>5 Years}}}}

 \rule{200} {2}

Thank You.

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