Question 78

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?

Solution

Let husband's age = $$x$$ years

=> Wife's age = $$(100 - x)$$ years

According to ques,

=> $$\frac{x - 10}{100 - x - 10} = \frac{9}{7}$$

=> $$\frac{x - 10}{90 - x} = \frac{9}{7}$$

=> $$7x - 70 = 810 - 9x$$

=> $$9x + 7x = 810 + 70 = 880$$

=> $$x = \frac{880}{16} = 55$$ years

=> Ans - (B)

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