Question

Raju is 19 years younger than his cousin . After 5 years, their ages will be in the ratio 2:3 .
Find their present ages .
please help me.
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Answer 1

Answer:

Step-by-step explanation:

Hey mate

Lets take Raju's cousin's age be x yrs

Therefore Raju 's age = x - 19

Ratio between Raju and his cousin = 2 : 3 or 2/3

Hence (x - 19) + 5/x + 5 = 2/3

= 5 + x - 5 + 19/x + 5 = 2/3

= 5 + x - 14/x + 5 = 2/3

= 15 + 3x - 42/2x + 10

= - 37 + 3x = 2x+10

= - 37 - 10 = 2x - 3x

= - 47 = - x

= 47 = x = His cousin age after 5 yrs=47 + 5 = 52yrs

= His age = 52 - 19 =  33yrs

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Answer 2

$\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}$

Let,

${\bf{\green{The age of the raju=x}}}$

Then,

${\bf{\red{The age of the raju's cousin=19+x}}}$

${\bf{\blue{After 5 years }}}$

${\bf{\pink{Raju's age=x+5}}}$

${\bf{\green{His cousins age=19+x+5}}}$

${\bf{\green{=>24+x}}}$

${\bf{\orange{Ratio of their ages}}}$

${\bf{\orange{=>2:3}}}$

So,

${\bf{\blue{=>x+5/24+x=2/3}}}$

${\bf{\blue{=>3x+15=48+2x}}}$

${\bf{\blue{=>3x-2x=48-15}}}$

${\bf{\blue{=>x=33}}}$

Then,

${\bf{\red{The age of Raju=x}}}$

${\bf{\red{=>33}}}$

${\bf{\green{The age of Raju's cousin}}}$

${\bf{\pink{=>19+x}}}$

${\bf{\pink{=>19+33}}}$

${\bf{\pink{=>52}}}$