Question

Akhil is teice as old as bharat ten years ago akhil age was four times bharaths age find akhils present age

Answer 1

$\large\bf\underline{Given:-}$

• Akhil is twice as old as Bharat

• ten years ago akhil age was four times bharaths age

$\large\bf\underline {To \: find:-}$

• Akhil's present age

$\huge\bf\underline{Solution:-}$

• Let the age of Bharat be x year's

As it is given in the Question that Akhil is twice as old as Bharat.

• Then Age of Akhil = 2x

✝️ According to question:-

Ten years ago akhil age was four times bharaths age.

• Age of Bharat = x - 10
• Age of Akhil = 2x - 10

»» 2x - 10 = 4(x - 10)

»» 2x - 10 = 4x - 40

»» -10 + 40 = 4x - 2x

»» 30 = 2x

»» x = 30/2

• ≫ x = 15

So,

• Present Age of Bharat = 15 year's

Akhil is twice as old as Bharat So,

Present Age of Akhil 2x = 15 × 2 = 30 year's

Hence,

• ≫ Present Age of Akhil = 30 year's

$\rule{200}3$

Answer 2

$\rule{200}{4}$

$\Huge\bigstar\:\tt\underline\red{GIVEN}$

$\bullet\:\:\:\:\sf\orange{ Akhil \:is\: twice\: as\: old\: as \:Bharath}$

$\bullet\:\:\:\:\sf \orange{Ten\: years\: ago, \;Akhil's\: age\: was \:four\: times\: Bharath's \:age.}$

$\rule{200}{4}$

$\Huge\bigstar\:\tt\underline\red{TO\:FIND}$

$\bullet\:\:\:\:\sf\orange{{\Large The \:present \:age \:of \:Akhil} }$

$\rule{200}{4}$

$\Huge\bigstar\:\tt\underline\red{SOLUTION}$

$\sf\underline\pink{Let }$

• $\sf\orange{{\large Present \:age \:of\: Bharath \:be\: x}}$
• $\sf\orange{{\Large Akhil \:age \:be \:2x}}$

$\sf\underline\pink{After \:10 \:years\: ago }$

• $\sf\orange{{\Large Bharath's\: age\: =\: (x - 10)}}$
• $\sf\orange{{\Large Akhil's \:age \:=\: (2x - 10)}}$

$\Large\leadsto\:\:\: \: \sf \purple {2x - 10 = 4(x - 10)}$

$\Large\leadsto\:\:\: \: \sf \green {2x - 10 = 4x - 40 }$

$\Large\leadsto\:\:\: \: \sf \purple {40 - 10 = 4x - 2x }$

$\Large\leadsto\:\:\: \: \sf \green {2x = 30}$

$\Large\leadsto\:\:\: \: \sf \purple {x = {\huge\frac{30}{2}} }$

$\Large\leadsto\:\:\: \: \sf \green {x = 15}$

$\sf\orange{Hence, }$

$\large\dagger\:\sf\underline\pink{Present\: age \:of \:Bharath}\: :$

$\Large\leadsto\:\:\: \: \sf \purple {x = 15\:years }$

$\large\dagger\:\sf\underline\pink{Present \:age \:of \:Akhil} \: :$

$\Large\leadsto\:\:\: \: \sf \green {2x = 2 × 15 }$

$\Large\leadsto\:\:\: \: \sf \underline\green {30\:years}$

$\rule{200}{4}$