Question

Five years ago, the average age of Ashok and Sita was 25 years. Today, the average age of Ashok, Sita and Ganesha is 35 years, what will be the age of Ganesha after 10 years? "​

Answer 1

Answer:

55 years.

TIP : Always let present ages.

Answer 2

$\bigstar$$\mid$ GIVEN :

• Five years ago Ashok's and Sita's average age 25 years.
• Today the average age of Ashok Sita and Ganesha is 35 years.

$\bigstar$$\mid$ TO FIND :

• The age of Ganesha after 10 years.

$\bigstar$$\mid$ SOLUTION :

• We know that their (Ashok, and Sita) average age is 25 years.
• So, let's assume that their age is x and y years respectively.
• Five years ago their ages was (x - 5) years and (y - 5) years.

Hence,

We can also write it as :

$\bf \to average \: = \frac{Ashok's \: age + Sita's \: age}{2}$

$\bf \to \: 25 = \frac{(x - 5)( y - 5)}{2}$

$\bf \to \: 50 = \frac{x - 5 + y - 5}{2}$

$\bf \to \: 50 = x + y - 10$

$\bf \to \: x + y = 50 + 10$

$\bf{ \underline{ \boxed{ \bf \therefore \: x + y = 60years}}}$

• After calculation we got (x + y) = 60years i.e., the age of Ashok and Sita.

Now,

• As it is told that the average age of Ashok, Sita, and Ganesha is 35 years.

Again,

$\bf \to \: average \: = \frac{age \: of \: (ashok \: + sita + ganesha)}{3}$

$\bf \to \: 35years \: = \frac{(x + y) + Ganesha's \: age \: }{3} \\ \bf \: (putting \: the \: value \: of \: (x + y)$

$\bf \to \: 35 \times 3 = 60 + Ganesha's \: age$

$\bf \to \: 105 - 60 = Ganesha's \: age$

$\bf \therefore {\underline{ \boxed{ \bf Ganesha's \: age = 45years \: }}}$

• We got the age of Ganesha - 45 years.

Hence,

After 10 years his age will be (45 + 10) years = 55 years ans.

$\bf \green \dag{\underline{\boxed{ \therefore { \bf Ganesha's \: present \: age \: \to 55 years}}}}\green \dag$