Question

8. Ashok is elder than Gopal by 7 yrs. Sum of the ages of both 31 yrs. What is the
present age of Gopal?

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Answer 1

Answer:

I think 12

Step-by-step explanation:

I think we just have to subtract we can do this by

let gopal age - x

ashok age - x+7

now, x+x+7=31

2x+7=31

2x = 31-7

24

2x=24

x= 24/2

x= 12

Answer 2

AnswEr-:

• $\underline{\boxed{\star{\sf{\blue{  The\:Present\:age\:of\:Ashok\:is\:19\:yrs.}}}}}$
• $\underline{\boxed{\star{\sf{\blue{  The\:Present\:age\:of\:Gopal \:is\:12\:yrs.}}}}}$

Explanation-:

$\mathrm{Given-:}$

• Ashok is elder than Gopal by 7 yrs.
• Sum of the ages of both 31 yrs.

$\mathrm{To\:Find-:}$

• The present age of Gopal.

$\dag{\mathrm{Solution \:of\:Question \:-: }}$

• $\mathrm{Let's \:Assume -:}$

• The present age of Ashok be x .

• $\underbrace {\mathrm{Understanding \:the\:Concept \:-: }}$

• We have to Find the present age of Gopal.

• Ashok is elder than Gopal by 7 yrs.

• Then ,

• Present age of Gopal is (x - 7) yrs

Then ,

• $\frak{Present \:Ages\:\: -:} \begin{cases} \sf{The\:Present \:age\:of\:Ashok\:\:is\:= \frak{x \:yrs}} & \\\\ \sf{Present \:age\:of\:Gopal \:is\:\: \:=\:\frak{x-7 \:yrs}}\end{cases}$

• and,

• Sum of the ages of Ashok and Gopal is 31 yrs.

• Then ,

• Sum of their ages is 31 yrs -: x + ( x -7 ) = 31

• $\implies{\sf{New\:Formed \:Equation \:= x + ( x -7) = 31 }}$

$\mathrm{\dag{Now\:Solve\:for\:x\:in\:Equation \: -:}}$

• $\implies{\sf{\:Formed \:Equation \:= x + ( x -7) = 31 }}$

• $\implies{\sf{ x + ( x -7) = 31 }}$

• $\implies{\sf{ x + x - 7 = 31 }}$

• $\implies{\sf{ 2x+ 7 = 31 }}$

• $\implies{\sf{ 2x = 31+7 }}$

• $\implies{\sf{ 2x = 38 }}$

• $\implies{\sf{ x = \dfrac{38}{2} }}$

• $\implies{\sf{ x = \dfrac{\cancel {38}}{\cancel {2}} }}$

• $\implies{\sf{ x = 19 }}$

$\sf{Therefore,}$

• $\boxed{\sf{ x = 19 }}$

$\frak{Putting \:x =19\:\: -:} \begin{cases} \sf{The\:Present \:age\:of\:Ashok\:\:is\:= \frak{x = 19\:yrs}} & \\\\ \sf{Present \:age\:of\:Gopal \:is\:\: \:=\:\frak{x-7 \:19 - 7 = 12 yrs}}\end{cases}$

$\sf{Hence ,}$

• $\underline{\boxed{\star{\sf{\blue{  The\:Present\:age\:of\:Ashok\:is\:19\:yrs.}}}}}$

• $\underline{\boxed{\star{\sf{\blue{  The\:Present\:age\:of\:Gopal \:is\:12\:yrs.}}}}}$

______________________________________

$\sf{\huge{♡Verification \:-:\:}}$

• $\implies{\sf{\:Formed \:Equation \:= x + ( x -7) = 31 }}$

• $\sf{Here , }$

• $\implies{\sf{ x = 19 }}$

$\mathrm{\dag{Now\:Put\:for\:x=19\:in\:Equation \: -:}}$

• $\implies{\sf{\:Formed \:Equation \:= x + ( x -7) = 31 }}$

• $\implies{\sf{ 19 + ( 19 -7) = 31 }}$

• $\implies{\sf{ 19 + 12 = 31 }}$

• $\implies{\sf{ 31 = 31 }}$

$\sf{Therefore,}$

• $\dag{\sf{ LHS = RHS }}$

• $\dag{\sf{Hence \:, Verified!}}$

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