Question

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

Answer 1

let Shyam be x
so ram given 2 yrs older than Shyam
so Ram = x+2
given
$x + x + 2 = 36 \\ 2x + 2 = 36 \\ 2x = 36 - 2 = 34 \\ 2x = 34 \\ x = 34 \div 2 \\ x = 17$
$shyam \: is \: 17 \\ ram \: is \: 17 + 2 = 19$
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Answer 2

GIVEN:

• The sum of Ages of Ram and Shyam is 36.
• Ram is elder than Shyam by 2 years.

TO FIND:

• What is the present age of Shyam and Ram ?

SOLUTION:

Let the age of Ram be 'x' years and that of Shyam be 'y' years

CASE:- ❶

➣ the sum of Ages of Ram and Shyam is 36

 $\bf{\dashrightarrow x + y = 36...1)}$

CASE:- ❷ 

➣ Ram is elder than Shyam by 2 years

$\bf{\dashrightarrow x = y + 2.....2) }$

Put the value of 'x' from equation 2) in equation 1)

$\rm{\dashrightarrow y + 2 + y = 36 }$

$\rm{\dashrightarrow 2y + 2 = 36 }$

$\rm{\dashrightarrow 2y = 36-2 }$

$\rm{\dashrightarrow 2y = 34 }$

$\rm{\dashrightarrow y = \cancel\dfrac{34}{2} }$

$\bf{\dashrightarrow \star \: y = 17 \: \star }$

Put the value of 'y' in equation 1)

$\rm{\dashrightarrow x + 17 = 36 }$

$\rm{\dashrightarrow x = 36 - 17 }$

$\bf{\dashrightarrow \star \: x = 19 \: \star }$

$\rm{\dashrightarrow Ram's \: age = x\: years }$

$\bf{\dashrightarrow Ram's \: age = 19 \: years}$

$\rm{\dashrightarrow Shyam's \: age = y \: years }$

$\bf{\dashrightarrow Shyam's \: age = 17 \: years }$

❝ Hence, the age of Ram is 19 years and the age of Shyam is 17 years ❞

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