Question

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?<br />
A.16 years<br />
B.18 years<br />
C.28 years<br />
D.24.5 years

Answer 1

$\Large{\bold{Hey\:Mate\:Here\:Is\:Your\:Answer} }$

$\underline{\bold{Given That ...}}$

Ratio Of A Present Age Of Sachin And Rahul Is 7:9 .. , And it's Also Given That Sachin Is 7 years Younger Than

Rahul. And we Need To Find Age Of Sachin

So Now Let's Move Two Solution....

$\underline{\bold{Solution .....}}$

Now To Find The Age Of Sachin Follow The Simple Steps..

$\underline{\bold{Step-1\:)\:D e f ine \:All\:Required\:Values\:With\:Help\:Of\: Variables.}}$

Now According To Question It's Said That Ratio Of Their Ages Are 7:9

So Let $\boxed{\bold{'x'}}$Be The constant Of Ratio.

Therefore Let ...

$\bold{Sachin's\: Age\: =\: 7x }$

And

$\bold{Rahul's\: Age\: =\:9x }$

$\underline{\bold{Step-2\:)Form\:An\: Equation\: By\:Help\:Of\:Given\: Information\:}}$

Now In Question It's Said That The Sachin's Age Is 7 years lesser Than Rahul's Age

That is ...

$\bold{Sachin's \:Age\: = Rahul's \:Age - 7}$

$\bold{Now \:Putting\: Values\: Of \:Sachin's\: Age\: = \:7x\: And \:Rahul's \:Age\: = 9x}$

We Have .....

$\bold{7x = 9x - 7}$

$\underline{\bold{Step-3\:)Solve\:The\: Equation}}$

Now Taking (9x) To LHS We Have .....

$\bold{7x\: - \:9x \:=\: - \:7}$

That Is.....

$\bold{- \:2x\: =\: -\: 7}$

This Is Equal To ....

$\bold{x\: = \:\frac{ - 7}{ - 2}}$

That Is .....

$\boxed{\bold{x = 3.5}}$

$\bold{So\: Now \:We\: Have \:X \:=\: 3.5 }$

$\underline{\bold{Step-4\:)Put\: Obtained\: Value\:Of\:'x'\:In\:The\: Required\:Age}}$

Now Putting Value Of 'X' In Sachin's Age We Have ....

$\boxed{\bold{Sachin's \:Age \:= \:7x \:= \:7\times\: 3.5\: = \:24.5years}}$

$\underline{\bold{Hence \:The\: Required\: Answer\: Is\: .....}}$

$\boxed{\bold{24.5 years}}$

$\large{Thanks....}$

Answer 2

\Large{\bold{Hey\:Mate\:Here\:Is\:Your\:Answer} }HeyMateHereIsYourAnswer 

\underline{\bold{Given That ...}}GivenThat...​ 

Ratio Of A Present Age Of Sachin And Rahul Is 7:9 .. , And it's Also Given That Sachin Is 7 years Younger Than 

Rahul. And we Need To Find Age Of Sachin 

So Now Let's Move Two Solution....

\underline{\bold{Solution .....}}Solution.....​ 

Now To Find The Age Of Sachin Follow The Simple Steps..

\underline{\bold{Step-1\:)\:D e f ine \:All\:Required\:Values\:With\:Help\:Of\: Variables.}}Step−1)DefineAllRequiredValuesWithHelpOfVariables.​ 

Now According To Question It's Said That Ratio Of Their Ages Are 7:9 

So Let \boxed{\bold{'x'}}′x′​ Be The constant Of Ratio. 

Therefore Let ...

\bold{Sachin's\: Age\: =\: 7x }Sachin′sAge=7x 

And 

\bold{Rahul's\: Age\: =\:9x }Rahul′sAge=9x 

\underline{\bold{Step-2\:)Form\:An\: Equation\: By\:Help\:Of\:Given\: Information\:}}Step−2)FormAnEquationByHelpOfGivenInformation​ 

Now In Question It's Said That The Sachin's Age Is 7 years lesser Than Rahul's Age 

That is ...

\bold{Sachin's \:Age\: = Rahul's \:Age - 7}Sachin′sAge=Rahul′sAge−7 

\bold{Now \:Putting\: Values\: Of \:Sachin's\: Age\: = \:7x\: And \:Rahul's \:Age\: = 9x}NowPuttingValuesOfSachin′sAge=7xAndRahul′sAge=9x 

We Have .....

\bold{7x = 9x - 7}7x=9x−7 

\underline{\bold{Step-3\:)Solve\:The\: Equation}}Step−3)SolveTheEquation​ 

Now Taking (9x) To LHS We Have .....

\bold{7x\: - \:9x \:=\: - \:7}7x−9x=−7 

That Is.....

\bold{- \:2x\: =\: -\: 7}−2x=−7 

This Is Equal To ....

\bold{x\: = \:\frac{ - 7}{ - 2}}x=−2−7​ 

That Is .....

\boxed{\bold{x = 3.5}}x=3.5​ 

\bold{So\: Now \:We\: Have \:X \:=\: 3.5 }SoNowWeHaveX=3.5 

\underline{\bold{Step-4\:)Put\: Obtained\: Value\:Of\:'x'\:In\:The\: Required\:Age}}Step−4)PutObtainedValueOf′x′InTheRequiredAge​ 

Now Putting Value Of 'X' In Sachin's Age We Have ....

\boxed{\bold{Sachin's \:Age \:= \:7x \:= \:7\times\: 3.5\: = \:24.5years}}Sachin′sAge=7x=7×3.5=24.5years​ 

\underline{\bold{Hence \:The\: Required\: Answer\: Is\: .....}}HenceTheRequiredAnswerIs.....​ 

\boxed{\bold{24.5 years}}24.5years​ 

\large{Thanks....}Thanks....