Math, asked by khushikanswal8, 9 months ago

the ages of hari and abhi are in the ratio 5:7 four years from new the ratio of their of their ages will be 3:4 find their present ages





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Answers

Answered by sunil9353
3

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Answered by sethrollins13
59

Given :

  • Ages of hari and abhi are in the ratio 5:7.
  • After 4 years the ratio of their ages will be 3:4.

To Find :

  • Present age of Hari and Abhi.

Solution :

\longmapsto\tt{Let\:age\:of\:Hari\:be=5x}

\longmapsto\tt{Let\:age\:of\:Abhi\:be=7x}

After 4 years :

\longmapsto\tt{Age\:of\:Hari=5x+4}

\longmapsto\tt{Age\:of\:Abhi=7x+4}

A.T.Q :

  • After 4 years from now ratio of their ages will be 3:4.So ,

\longmapsto\tt{\dfrac{5x+4}{7x+4}=\dfrac{3}{4}}

\longmapsto\tt{4(5x+4)=3(7x+4)}

\longmapsto\tt{20x+16=21x+12}

\longmapsto\tt{20x-21=12-16}

\longmapsto\tt{-1x=-4}

\longmapsto\tt\bold{x=4}

Value of x is 4..

Therefore ,

\longmapsto\tt{Present\:Age\:of\:Hari=5(4)}

\longmapsto\tt\bold{20\:yrs}

\longmapsto\tt{Present\:Age\:of\:Abhi=7(4)}

\longmapsto\tt\bold{28\:yrs}

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