Question 44

Five years ago, the ratio between ages of Meena and Sita was 3 : 4. After five years from now the ratio between their ages will be 5 : 6. Find the present age of Meena ?

Solution

Let the ages of Meena and Sita 5 years ago be $$3x$$ and $$4x$$ years

=> Present age of Meena = $$(3x + 5)$$ years

Present age of Sita = $$(4x + 5)$$ years

Acc. to ques,

=> $$\frac{3x + 10}{4x + 10} = \frac{5}{6}$$

=> $$18x + 60 = 20x + 50$$

=> $$2x = 60 - 50 = 10$$

=> $$x = \frac{10}{2} = 5$$

$$\therefore$$ Present age of Meena = $$(3 \times 5 + 5) = 20$$ years

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