Question

Present age of rohan is 2 more than 2 times of poonam age.4 years before poonam age was 8 times of poonam age.find the present age of rohan and poonam

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Answer 1

QUESTION:-

Present age of rohan is 2 more than 2 times of poonam age.4 years before poonam age was 8 times of poonam age.find the present age of rohan and poonam

EXPLANATION:-

Let the present age of Poonam=x years

Then rohan age=2x+2 years

--------------------------------------------------------

4 YEARS BEFORE:

Poonan=x-4 years

Rohan=2x-2 years

A.T.Q

⇒ 8 (x - 4) = 2x - 2

⇒ 8x - 32 = 2x - 2

⇒ 8x - 2x = - 2 + 32

⇒ 6x = 30

⇒ x = 30/6

⇒ x = 5

So,

Poonam=5 years

Rohan=2(5)+2

Rohan=12 years

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Answer 2

Appropriate Question :

⠀▪︎⠀Present age of Rohan is 2 more than 2 times of Poonam age and 4 years before poonam age was 8 times of Rohan's age. Find the present age of Rohan and Poonam ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀

Given : Present age of Rohan is 2 more than 2 times of Poonam age & 4 years before Rohan's age was 8 times of Poonam's age .

Need To Find : Present age of Rohan and Poonam ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀

❍ Let's say that , Poonam's age be x yrs and Rohan's age be ( 2x + 2 ) yrs i.e, Present age of Rohan is 2 more than 2 times of Poonam age

⠀☆ Four Years Before their Ages :

• Poonam age will be = ( x - 4 ) yrs &
• Rohan age will be = ( 2x + 2 - 4 ) yrs .

$\\\:\quad \dag\:\underline {\pmb{\frak{ According \:To\:The\:Given \:Question \:\::\:}}}$

⠀⠀▪︎ ⠀⠀4 years before Rohan's age was 8 times of Poonam's age .

$\\\\:\implies \sf \Big\{\: Rohan's \:age \:\Big\}\:=\:8\: \Big\{\: Poonam's \:age \:\Big\}\:\:$

$:\implies \sf \Big\{\: 2x + 2 - 4 \:\Big\}\:=\:8\: \Big\{\: x - 4 \:\Big\}\:\:$

$:\implies \sf \Big\{\: 2x - 2 \:\Big\}\:=\:8\: \Big\{\: x - 4 \:\Big\}\:\:$

$:\implies \sf \Big\{\: 2x - 2 \:\Big\}\:=\: \Big\{\: 8x - 32 \:\Big\}\:\:$

$:\implies \sf \: 2x - 2 \:=\: 8x - 32 \:$

$:\implies \sf \: 8x - 2x \:=\: -2 + 32 \:$

$:\implies \sf \: 6x \:=\: 30 \:$

$:\implies \sf \: x \:=\: \cancel{\dfrac{30}{6}}\:$

$:\implies \pmb {\underline {\boxed {\purple {\:\frak{ \:x\:\:=\:5\;yrs\:}}}}}\:\bigstar \:$

Therefore,

• Poonam's Age , x = 5 yrs &
• Rohan's Age , ( 2x - 2 ) = [ 2 (5) + 2 ] = 12 yrs .

$\\\:\therefore \:\underline {\sf \: Hence, \: Present \:ages \:of\: Poonam \:and \:Rohan \:are\:\pmb{\sf 5\:yrs\:\& \:12\:yrs\:}\:,respectively. }$