Word problems.
The age 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?
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Let the age of Hari be 5x and Harry be 7x.
4 years later,
Age of Hari = 5x + 4
Age of Harry = 7x + 4
According to the question,
\frac{5 x+4}{7 x+4}=\frac{3}{4}
7x+4
5x+4
=
4
3
⇒ 4(5x + 4) = 3(7x + 4)
⇒ 20x + 16 = 21x + 12
⇒ 21x - 20x = 16 - 12
⇒ x = 4
Hari age = 5x = 5×4 = 20 years
Harry age = 7x = 7×4 = 28 years
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