Question

Anu is 5 years elder to Raju.if sum of their age is 31. Then find their age.

Answer 1

✞Given:-

• Anu is 5 years elder to Raju.
• Sum of their age is 31.

✞To Find:-

• Find their ages.

✞Understanding:-

As we don't know what is the age Raju and Anu, we will say their ages as,

• Raju- 'x'
• Anu- '5+x' ( Because she is 5 years elder to Raju)

✠According to Question:-

• Their ages sum up to 31.

So, the required equation will be,

⇒5+x+x = 31

⇒5+2x = 31

⇒2x = 31-5

⇒2x = 26

⇒x = 26/2

⇒x = 13

• So, we got value of x as 13.

✠Now,

Let is find the ages of both Raju and Anu.

• Raju = x = 13 years
• Anu = 5+x = 13+5 = 18 years.

✠Final Answer:-

So, The age of Anu and Raju is 18 and 13 years respectively.

✞Verification:-

⇒5+x+x = 31

⇒5+13+13 = 31

⇒31 = 31

L.H.S = R.H.S.

Hence verified! ✔️

Answer 2

☆Given Question :-

• Anu is 5 years elder to Raju. If sum of their ages is 31. Then find their ages.

$\huge \orange{AηsωeR}✍$

☆Given :-

• Anu is 5 years elder to Raju.
• Sum of their ages is 31.

☆To Find :-

• Age of Anu and Raju

☆Solution :-

$\sf \: Let \: Raju \: present \: age \: be \: 'x' \: years.$

$\sf \: So, \: Anu \: present \: age \: be \: '(x + 5)' \: years.$

$\begin{gathered}\bf\blue{According\:to\:the\:question,} \end{gathered}</p><p>$

$\sf \: ⟼x \: + \: x + \: 5 \: = \: 31$

$\sf \: ⟼2x \: + \: 5 \: = \: 31$

$\sf \: ⟼2x = 31 - 5$

$\sf \: ⟼2x = 26$

$\sf \: ⟼x = 13$

☆ Hence, the required ages are,

✧ Age of Raju = x = 13 years

✧ Age of Anu = x + 5 = 13 + 5 = 18 years

$\large{\boxed{\boxed{\bf{So, \: age \: of \: Raju \: is \: 13 \: years}}}}$

$\large{\boxed{\boxed{\bf{So, \: age \: of \: Anu \: is \: 18 \: years}}}}$

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