Math, asked by dreamgirlmegha, 12 hours ago

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



hi jinia​

Answers

Answered by PopularStar
31

Given:

  • The ages of hari and harry 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 ratio be x

∴ Hari's age\bf\color{magenta}{⤳} 5x,

Harry's age\bf\color{magenta} {⤳}7x

and four years later: Ages will be 5x+4 and 7x+4

As per the question:

 \sf \dfrac{5x+4}{7x+4}= \sf \dfrac{3}{4}

∴ 4(5x+4)=3(7x+4)

∴20x+16=21x+12

∴20x−21x=12−16

∴−x=−4

∴x=4

\bf\color{magenta}{⤳}Hari's age =5x=5×4=20 years

\bf\color{magenta}{⤳}Harry's age =7x=7×4=28 years

Answered by patelji97
0

Answer:

aap humse naraj hai ??

toh fir bye

Step-by-step explanation:

Given:

The ages of hari and harry 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 ratio be x

∴ Hari's age\bf\color{magenta}{⤳}⤳ 5x,

Harry's age\bf\color{magenta} {⤳}⤳ 7x

and four years later: Ages will be 5x+4 and 7x+4

As per the question:

∴\sf \dfrac{5x+4}{7x+4}

7x+4

5x+4

=\sf \dfrac{3}{4}

4

3

∴ 4(5x+4)=3(7x+4)

∴20x+16=21x+12

∴20x−21x=12−16

∴−x=−4

∴x=4

\bf\color{magenta}{⤳}⤳ Hari's age =5x=5×4=20 years

\bf\color{magenta}{⤳}⤳ Harry's age =7x=7×4=28 years

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