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Question

Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?

Solution
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Let after $$x$$ years, the ratio of their ages will become $$5:4$$
Afe of Vatsala after $$x$$ years = $$(10+x)$$ years
$$\dfrac{14+x}{10+x}=\dfrac{5}{4}$$
$$56+4x=50+5x$$
$$5x-4x=56-50$$
$$x=6$$
Thus, the ratio of their ages will become $$5:4$$ after $$6$$ years.

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