Math, asked by AjitSinghBhardwaj, 1 year ago

Raju is 19 years younger than his cousin . after 5 years their ages will be in the ratio of 2 ratio 3 find their present ages

Answers

Answered by xenon1
5
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Answered by Anonymous
0

Ⓖⓘⓥⓔⓝ :-

Raju is 19 years younger than his cousin.

ratios of their ages after 5 years = 2:3

Ⓕⓘⓝⓓ :-

THEIR PRESENT AGES ?

Ⓢⓞⓛⓤⓣⓘⓞⓝ  :-

Let age of cousin be x years

\therefore Age of Raju = x-19 years

After 5 years

Age of cousin = x+5 years

Age of Raju = x - 19 + 5 = x - 14 years

ACCORDING TO QUESTION

 \frac{x - 14}{x + 5}  =  \frac{2}{3}

 = 3 \times ( x - 14) = 2( x+ 5)

 =  > 3x - 42 = 2x + 10

collect \: like \: terms

 =  > 3x - 2x = 10 + 42

x = 52

So, Present age of:

cousin = x = 52 years

Raju = x -19 = 52 - 19 = 33 years

so, \: cousin \: present \: age \underline{ \boxed{52 \: years}}

and \: Raju\: present \: age \underline{ \boxed{33 \: years}}

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