Question

-the ages of a and b are in yhe ratio of 5:7. Four years from now the ratio of their ages will be 3:4 the present age of b is​

Answer 1

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Answer 2

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Let ratio (common) be x

$\therefore age \: of \: a = 5x \: and \: age \: of \: b = 7x$

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

ACCORDING TO QUESTION

$\frac{5x + 4}{7x + 4} = \frac{3}{4}$

$4(5x + 4) = 3(7x + 4)$

$20x+16=21x+12$

$20x−21x=12−16$

$−x=−4$

$\cancel−x= \cancel−4$

$x=4$

$\boxed{ age \: of \: a =5x=5×4=20 years}$

$\boxed{age \: of \: b=7x=7×4=28 years}$