The sum of the ages of husband and wife at present is 100. Ten years ago the ratio of their ages was 9:7. What is the age of the husband?
Let husband's age = $$x$$ years
=> Wife's age = $$(100 - x)$$ years
According to ques,Â
=> $$\frac{x - 10}{100 - x - 10} = \frac{9}{7}$$
=> $$\frac{x - 10}{90 - x} = \frac{9}{7}$$
=> $$7x - 70 = 810 - 9x$$
=> $$9x + 7x = 810 + 70 = 880$$
=> $$x = \frac{880}{16} = 55$$ years
=> Ans - (B)
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