James' present age is $\frac{2}{7} t h$ of his father's present age. James' brother is three years older to James. The respective ratio between present ages of James' father and James' brother is 14:5. What is the present age of James?

12 years

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23 years

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19 years

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27 years

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13 years

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Solution

The correct option is A 12 years
James' father present age = $x$
James' age $= \frac{2}{7} x$
James' brother age $= \frac{2}{7} x + 3$
$\frac{x}{\frac{2}{7} x + 3} = \frac{14}{5}$
$x = 42$
James' age $= \frac{2 x}{7} = \frac{2}{7} \times 42 = 12$

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James' present age is 27th of his father's present age. James' brother is three years older to James. The respective ratio between present ages of James' father and James' brother is 14:5. What is the present age of James?

The correct option is A 12 yearsJames' father present age = x James' age =27x James' brother age =27x+3 x27x+3=145 x=42 James' age =2x7=27×42=12

James' present age is $\frac{2}{7} t h$ of his father's present age. James' brother is three years older to James. The respective ratio between present ages of James' father and James' brother is 14:5. What is the present age of James?

The correct option is A 12 years
James' father present age = $x$
James' age $= \frac{2}{7} x$
James' brother age $= \frac{2}{7} x + 3$
$\frac{x}{\frac{2}{7} x + 3} = \frac{14}{5}$
$x = 42$
James' age $= \frac{2 x}{7} = \frac{2}{7} \times 42 = 12$