Question

after 5 years age Gauri's age will be twice of Nandu's age. write expression for Gauri's present age if Nandu is 5 years old, how old is Gauri?​

Answer 1

Let present age of Gauri be M years and present age of Nandu be N years.

After 5 years, Gauri's age will be twice of Nandu's age.

$\bold{After\:5\:years \:=>}\: \begin{cases} \text{Age of Gauri = (M + 5) years} \\ \text{Age of Nandu = (N + 5) years} \end{cases}$

According to question,

=> $\sf{M\:+\:5\:=\:2(N\:+\:5)}$

=> $\sf{M\:+\:5\:=\:2N\:+\:10}$

=> $\sf{M\:=\:2N\:+\:10\:-\:5}$

=> $\sf{M\:=\:2N\:+\:5}$ ___ (eq 1)

But we have given that present age of Nandu is 5 years.

So,

=> N = 5

Substitute value of N = 5 in (eq 1)

Now,

=> $\sf{M\:=\:2(5)\:+\:5}$

=> $\sf{M\:=\:10\:+\:5}$

=> $\sf{M\:=\:15}$

•°• Present age of Gauri is 15 years.

Answer 2

Answer:-

Age of gauri = 15 years

Explanation:-

Given:-

After 5 years, Gauri's age will be twice Of Nandu's age.

To Find:-

Age of gauri

Solution:-

Let, present age of

• Gauri = x
• Nandu = y

After 5 years,

Age of,

• Gauri = x+5
• Nandu = y+5

According to the question,

Age of Gauri after 5 years = twice the age of Nandu

•°• x+5 = 2(y+5)

${\rightarrow}x+5 = 2(5+5)$

${\rightarrow}x+5 = 2(10)$

${\rightarrow}x+5 = 20$

${\rightarrow}x = 20-5$

${\rightarrow}\bold{x = 15 \: years}$