Question

q 15 please solve this​

Answer 1

Answer:

Appropriate Question :

Rakesh is now 3 times a old as is younger brother Pinku, but in 3 more years he will be only twice as old as Pinku will be then. How old are they now?

Given :

• Rakesh is 3 times a old as is younger brother Pinku.
• After 3 more years Rakesh will be only twice as old as Pinku.

To Find :

• Present ages of Rakesh and Pinku

Solution :

★ Let the Present ages :

• » Pinku's age = x
• » Rakesh's age = 3x

$\begin{gathered}\end{gathered}$

★ After 3 years there ages :

• » Pinku's age = x+3
• » Rakesh's age = 3x+3

$\begin{gathered}\end{gathered}$

★ Now, according to the question :

$\begin{gathered} \quad\quad{\longrightarrow{\sf{3x + 3 = 2(x + 3)}}} \\ \\ \qquad{\longrightarrow{\sf{3x + 3 = x \times 2 + 3 \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{3x + 3 = 2x + 6}}} \\ \\ \qquad{\longrightarrow{\sf{3x - 2x = 6 - 3}}} \\ \\ \qquad{\longrightarrow{\sf{x = 3}}} \\ \\ \qquad\bigstar \: {\pink{\underline{\boxed{\sf{x = 3}}}}}\end{gathered}$

$\begin{gathered}\end{gathered}$

★ Hence,

• » Pinku's present age = 3 year
• » Rakesh's present age = 3×3 = 9 year

∴ The present ages of Pinku and Rakesh is 3 year and 9 year.