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Linear Equations in One Variable
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04/08/2021 11:48 am
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Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all three is 135 years. What is the age of each one of them?
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04/08/2021 11:52 am
Let the age of Baichung’s father be x.
Then, the age of Baichung’s grandfather = (x + 26)
and, Age of Baichung = (x - 29)
According to the question,
x + (x + 26) + (x - 29) = 135
⇒ 3x + 26 – 29 = 135
⇒ 3x – 3 = 135
⇒ 3x = 135 + 3
⇒ 3x = 138
⇒ x = \(\frac{138}{3}\)
⇒ x = 46
Age of Baichung’s father = x = 46
Age of Baichung’s grandfather = (x + 26)
= 46 + 26 = 72
Age of Baichung = (x - 29)
= 46 – 29 = 17