The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan?

Q: The ratio of Karthik’s and Kalyan’s ages is 4: 5. If the difference between the present age of Kalyan and the age of Karthik 5 years hence is 3 years, then what is the total of present ages of Karthik and Kalyan?

Let us consider Karthik as K1 and Kalyan as K2. Given k 1 8 + k 1 and K2 - (K1 + 5) = 3 K2 - K1 = 8 K2 = 8 + K1 Now, k 1 8 + k 1 = 4 5 => K1 = 32 years Therefore K2 = 40 years. K1 + K2 = 72 years.

56 years
62 years
69 years
72 years

Correct Answer: 72 years

Explanation:

Let us consider Karthik as K1 and Kalyan as K2.

Given $\frac{k 1}{8 + k 1}$ and K2 - (K1 + 5) = 3

K2 - K1 = 8

K2 = 8 + K1

Now,

$\frac{k 1}{8 + k 1} = \frac{4}{5}$

=> K1 = 32 years

Therefore K2 = 40 years.

K1 + K2 = 72 years.

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