Question

Rohan is 35 years younger than his cousin . In 10 years the ratio of their ages be 5:7. Find the present age



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Answer 1

Answer:

Present age of cousin is 112.5 years and age of Rohan is 77.5 years

Step-by-step explanation:

Given that Rohan is 35 years younger than his cousin.

Let present age of cousin be $x$ years

Thus, present age of Rohan $= x - 35$ years

After 10 years,

Age of cousin $= x + 10$ years

Age of Rohan $= x - 35 + 10= x - 25$ years

Given the ratio of Rohan's and cousin's age after 10 years is 5 : 7

Thus, we have

$\frac{x - 25}{x + 10} = \frac{5}{7}\\\\7 \times (\,x - 25)\, = 5 \times (\,x + 10)\,\\\\7x - 175 = 5x + 50\\\\ 7x - 5x = 50 + 175\\\\ 2x = 225$\\\\x = 112.5[/tex]

Thus, age of cousin $=112.5$ years

Age of Rohan $=112.5 - 35 = 77.5$ years