Question

The sum of the ages of pashupati and his brother is 15 and the difference between theri is 3 find their ages

Answer 1

Answer:

Let the age of Pashupati be x years.

Then , Age of his brother = ( 15 - x) years.

According to the question,

x - ( 15 - x) = 3

x - 15 + x = 3

2x = 3 + 15

x = 18/2 = 9

Age of Pashupati = 9 years.

Age of His brother = ( 15 - 9) = 6 years.

Answer 2

Answer:

Pashupati is 9 years old and his brother is 6 years old.

Step-by-step explanation:

Gívєn -

Sum of the Ages of Pashupati and his brother is = 15

Difference between their Ages is = 3

Tσ fínd -

Their present Ages

Sσlutíσn -

Let the Ages be as -

• Pashupati as x
• His Brother as y

$\rule{300}{1.5}$

According to the Question -

The sum of their Ages is = 15

$\sf{\implies} \: x + y = 15$

$\sf{\implies} \: x = 15 - y......(Equation \: 1)$

$\rule{300}{1.5}$

The Difference between their ages is = 3

$\sf{\implies} \: x - y = 3$

$\sf{\implies} \: (15 - y) - y = 3$

$\sf{\implies} \: 15 - y - y = 3$

$\sf{\implies} \: 15 - 2y = 3$

$\sf{\implies} \: - 2y = 3 - 15$

$\sf{\implies} \: \cancel - 2y = \cancel - 12$

$\sf{\implies} \: y = \dfrac{12}{2}$

$\sf{\implies} \: y = 6$

Brother's age is 6 Years

$\rule{300}{1.5}$

$\textbf{Pashupati's age -}$

Place the value of y in Equation 1

$\sf{\implies} \: x = 15 - y$

$\sf{\implies} \: x = 15 - 6$

$\sf{\implies} \: x = 9$

Pashupati's present age is 9 years

$\therefore$ Pashupati is 9 years old and his brother is 6 years old.