Miku 39 s age is 9 11th of his brother 39 s age and the age of Miku 39 s father is 23 years more tha...........

Quant (SSC) Problems based on Ages

Miku's age is 9/11th of his brother's age and the age of Miku's father is 23 years more than the age of Miku. If the average age of Miku, Miku's father and Miku's brother is 27 years, find the age of Miku.

18 years

22 years

26 years

32 years

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Explanation:

Let the age of Miku's brother = x years,
Miku's age = x × 9/11
The age of Miku's father = X x 9 /11 + 23
Total age = 27 × 3 = 81 years
X + 9x /11 + 9x /11 + 23 = 81
11x + 9x + 9x /11 = 81 - 23
29x = 11 × 58
x = 22
Miku's age = 22 x 9 /11 = 18 years