Math, asked by nischi1121, 9 months ago

8) The ages of Radha and Raghu are in the ratio 5 : 7. Four years from now,the ratio of their ages will be 3:4. Find their present ages.​

Answers

Answered by meghana1308
3

Hlo mate here is ur ans.....

FORE AGE OF RAJU AND HARI ARE 28 AND 34

Step-by-step explanation:LET THE AGE OF RAJU AND HARI BE 5x and 7x.

AFTER 4 YEARS THERE AGES ARE 5x+4 and 7x+4.four years from now,the ratio of their ages will be 3:4. find their present agefour years from

now,let the their ages will be 3y and 4ythat implies

5x+4=3y5x-3y=-4_____(1)

7x-4y=-4________(2)

BY SOLVING THEM,x=28 and y=34

THERE FORE AGE OF RAJU AND HARI ARE 28 AND 34

❤️❤️Hope this helps u dear❤️❤️

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Answered by llTheUnkownStarll
3

Given:

  • The ages of Radha and Raghu are in the ratio 5:7.
  • Four years from now the ratio of their ages will be 3:4

To Find:

  • Their Present Ages?

Solution:

Let the ages will be:

  • Radha age= 5x
  • Raghu age= 4x

After 4 years:

  • Age of Radha=5x+4
  • Age of Raghu=7x+4

\\\\{\color{green}{\bigstar}}{ \:   \underline{\sf{ \pmb{According \:  to \:  the  \: Question }}} }\\  \\

 \begin{gathered} : \implies\sf{\dfrac{5x+4}{7x+4}=\dfrac{3}{4}} \\ \\ \\   : \implies\sf{4(5x+4)=3(7x+4)} \\ \\ \\   : \implies\sf{20x+16=21x+12}  \\  \\  \\ :  \implies\sf{20x-21x=12-16} \\ \\   \\ : \implies\sf{-x=-4} \\ \\  \\: \implies\sf { {\cancel-}x= {\cancel-}4} \\ \\  \\  : \implies  \underline{\boxed{\frak{x=4}}} \pink\bigstar \\  \\  \\   \end{gathered}

Therefore,

 \begin{gathered}\longmapsto\sf{Present\:Age\:of\:Radha=5(4) = \textsf{ \textbf{20\:yrs}}} \\ \longmapsto\sf{Present\:Age\:of\:Raghu=7(4) = } \textsf{\textbf {28\:yrs}}\end{gathered}

\\\underline{\sf{ \color {navy}\: Hence, the \:  Radha \:  and \:  Raghu \:  ages \:  are \textsf{ \textbf{20}} \: and \textsf{ \textbf{28}} \:  years  \: respectively}}.

тнαηк үσυ

||TheUnknownStar||

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