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11.
The ratio of present ages of Anil and Aakash is 4 : 5. Three years later their ages will be in ratio 7 : 8. What is the present age (in years) of Anil?

8 years

6 years

4 years

10 years

4 years

Let present age of Anil be 4x years.
present age of aakash be 5x years.
According to the question,
$\Rightarrow \frac{4 x + 3}{5 x + 3} = \frac{7}{8} \Rightarrow 32 x + 24 = 35 x + 21 \Rightarrow 3 x = 3 \Rightarrow x = 1$
∴ Anil's present age = 4 x 1 = 4 years.

12.

The ratio of the present ages of Arman and Ankit is 2 : 1 and the sum of their present ages is 72 years. What will be the Aman's age (in years) after 6 years?

30 years
48 years
52 years
54 years

13.

Ratio of present ages of P and Q is 9 : 4. The difference between their ages is 20 years. What will be the sum (in years) of their ages after 10 years?

62 years
66 years
72 years
76 years

14.

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?