Baichung 's father is 26 years younger than Baichung's grand father and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of Baichung?
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Step-by-step explanation:
Let Baichung be B years old. Let his father be BF years old, and his grandfather be BGF years old.
From the given information, we can write the following:
B = BF - 29
BGF = BF + 26
B + BF + BGF = 135
Therefore,
(BF - 29) + BF + (BF + 26) = 135
=> 3*BF = 135 + 29 - 26 = 138
=> BF = 138/3 = 46
Therefore,
B = 46 - 29 = 17
BGF = 46 + 26 = 72
Therefore, their ages are:
Baichung: 17, his father: 46, and his grandfather: 72.
Check:
17 + 46 + 72 = 135.
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