Question

the sum of present ages of Ram and Shyam is 36 years RAM is elder than Shyam by 2 years find their present ages

Answer 1

✬ $\large\purple{\texttt {Ram = 19 Years }}$ ✬

✬ $\large\purple{\texttt {Shyam = 17 Years }}$ ✬

Step-by-step explanation:

Given:

• Sum of present ages of Ram and Shyam is 36 years.
• Ram is elder than shyam by two years.

To Find:

• What is their present ages ?

Solution: Let Shyam's present age be x years. Then,

➼ Ram's present age = 2 years elder than Shyam

➼ Ram's age = (x + 2) years

A/q

• ( Ram's + Shyam's )age = 36 years

$\implies{\rm }$ $\large\orange{\texttt{x + 2 + x =}}$ $\large\orange{\texttt{36}}$

$\implies{\rm }$ $\large\orange{\texttt{2x + 2}}$ $\large\orange{\texttt{=}}$ $\large\orange{\texttt{36}}$

$\implies{\rm }$ $\large\orange{\texttt{2x =}}$ $\large\orange{\texttt{36 – 2}}$

$\implies{\rm }$ $\large\orange{\texttt{2x =}}$ $\large\orange{\texttt{34}}$

$\implies{\rm }$ $\large\orange{\texttt{x =}}$ $\large\orange{\texttt{34/2}}$

$\implies{\rm }$ $\large\orange{\texttt{x = }}$ $\large\orange{\texttt{17}}$

Hence, Present ages of both :-

➬ Shyam = x = 17 years

➬ Ram = (17 + 2) = 19 years

___________________

★ Verification ★

→ Ram + Shyam = 36 years

→ 19 + 17 = 36

→ 36 = 36

$\large\boxed{\texttt{Verified}}$

Answer 2

Given ,

The sum of present ages of Ram and Shyam is 36 years and Ram is elder than Shyam by 2 years

Let ,

The age of Shyam be " x "

Then , the age of ram will be " x + 2 "

According to the question ,

x + x + 2 = 36

2x + 2 = 36

2x = 34

x = 34/2

x = 17

$\therefore \sf \underline{The \: present \: ages \: of \: Ram \: and \: Shyam \: are \: 19 \: years \: and \: 17 \: years}$