Math, asked by halimatalat78, 6 months ago

the present age of Rajni and Ragini are in the ratio 7:9. five years from now the ratio of their ages will be 4:5. find their present age.

please explain it by step by step​

Answers

Answered by sethrollins13
49

Given :

  • Present Age of Rajni and Ragini are in ratio 7:9.
  • After 5 years their ages will be in ratio 4:5.

To Find :

  • Present Age of Ragni and Ragini.

Solution :

\longmapsto\tt{Let\:Present\:Age\:of\:Rajni\:be=7x}

\longmapsto\tt{Let\:Present\:Age\:of\:Ragini\:be=9x}

After 5 years :

\longmapsto\tt{Age\:of\:Rajni=7x+5}

\longmapsto\tt{Age\:of\:Ragini=9x+5}

A.T.Q :

\longmapsto\tt{\dfrac{7x+5}{9x+5}=\dfrac{4}{5}}

\longmapsto\tt{5(7x+5)=4(9x+5)}

\longmapsto\tt{35x+25=36x+20}

\longmapsto\tt{35x-36x=20-25}

\longmapsto\tt{-1x=-5}

\longmapsto\tt\bold{x=5}

Value of x is 5...

Therefore :

\longmapsto\tt{Present\:Age\:of\:Rajni=7(5)}

\longmapsto\tt\bold{35\:yrs.}

\longmapsto\tt{Present\:Age\:of\:Ragini=9(5)}

\longmapsto\tt\bold{45\:yrs.}

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