The ages of Rohith and Hima are in the ratio 5:7. Four years later, their ages will be in the ratio 3:4. Find their ages
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1
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Solution:
Let the Ages of Hari and Harry be 5x and 7x years.
According to question, \frac{5x+4}{7x+4}=\frac{3}{4}
7x+4
5x+4
=
4
3
\Rightarrow\ 4\left(5x+4\right)=3\left(7x+4\right)⇒ 4(5x+4)=3(7x+4)
\Rightarrow\ 20x+16=21x+12⇒ 20x+16=21x+12
\Rightarrow\ 20x-21x=12-16⇒ 20x−21x=12−16
\Rightarrow\ -x=-4⇒ −x=−4
\Rightarrow\ x=4⇒ x=4
Hence, the age of Hari = 5x= 4 x 5 = 20 years.
And the age of Harry = 7x = 7 x 4 = 28 years.
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