Question 60

Two-thirds of my current age is the same as three-fourths of that of one of my cousins’.
My age three years ago will be his age four years hence. My current age is ........ years.

Solution

The correct option is B.

Let my current age is $$x$$. And my cousin age is $$y$$.

From question, $$\frac{2x}{3}=\frac{3y}{4}$$
$$\Rightarrow$$ $$8x=9y$$
$$\Rightarrow$$ $$y=\frac{8x}{9}$$ ........(1)

Again from question, $$x-3=y+4$$

$$\Rightarrow$$ $$x-3=\frac{8x}{9}+4$$ From equation (1)

$$\Rightarrow$$ $$x=63$$

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Two-thirds of my current age is the same as three-fourths of that of one of my cousins’.My age three years ago will be his age four years hence. My current age is ........ years.