Question

the present age of sita and gita are in the ratio of 5:2.Six years later,sita will be twice as old as gita. Find their present ages.

Answer 1

Answer:Sita's present age = 5x = 5 * 6 = 30yrs

Gita's present age = 2x = 2* 6= 12yrs

Step-by-step explanation:

Ratio of sita = 5x

Ratio of Gita= 2x

After six years-

Sita's age= 5x + 6

Gita'sage= 2x +6

Sita's age = Gita's age

5x+6 = 2(2x+6)

5x+6= 4x+12

5x - 4x = 12-6

X = 6

Sita's present age = 5x = 5 * 6 = 30yrs

Gita's present age = 2x = 2* 6= 12yrs

Answer 2

$\mathfrak{Answer:}$

Sita's age = 30 years.

Gita's age = 12 years.

$\mathfrak{Step-by-Step\:Explanation:}$

Let the age of Sita and Gita be 5x years and 2x years.

6 years later ,

• Sita's age = ( 5x + 6 ) years.
• Gita's age = ( 2x + 6 ) years.

$\mathfrak{According\;to\;Question:}\\\\\\\implies\tt{5x+6=(2x+6)2}\\\\\\\implies\tt{5x+6=4x+12}\\\\\\\implies\tt{5x-4x=12-6}\\\\\\\implies\tt{x=6.}$

$\bigstar\quad\textbf{Sita's age = 5x years.}\\\\\\\tt{=5\times 6}\\\\\\\tt{=30\;years.}\\\\\\\bigstar\quad\textbf{Gita's age = 2x years.}\\\\\\\tt{=2\times 6}\\\\\\\tt{=12\;years.}$