baichung's father is 26 years young 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 each one of them ?
Answers
Answer:
Heya mate your answer is----------------------------------------------------
let the baichungs father age be x
therefore baichungs grandfather age be x+26
therefore baichungs age is x-29
baichungs age+baichungs grandfather age + baichungs father age is equal to sum of there ages
x+x+26+x-29 -135
3x+26-29 - 135
3x+(-3)-135
3x - 135+3
3x - 138
X is equal to 138 divided by 3
x is equal to 46
hence father age is 46 years (x)
hence grandfather age is 72years(x+26)
Let the age of Baichung’s father = m year
Since, Baichung’s father is 26 year younger than Baichung’s grand father
Therefore, Age of Baichung’s grandfather = Age of Baichung’s father + 26 = m + 26 year
Since, Baichung’s father is 29 year older than Baichung
Therefore, Age of Baichung = Age of Baichung’s father – 29 = m – 29 year
Now, we have
Age of Baichung = m – 29 year
Age of Baichung’s father = m year
Age of Bahichung’s grandfather = m + 26 year
According to question, the sum of ages of all the three = 135 year
Therefore,
Age of Baichung + Age of Baichung’s father + Age of Baichung’s grandfather = 135
⇒ (m – 29) + m + (m + 26) = 135 year
⇒ m – 29 + m + m + 26 = 135 year
⇒ m + m + m – 29 + 26 = 135 year
⇒ 3m – 3 = 135 year
After transposing – 3 to the RHS, we get
3m = 135 year + 3
⇒ 3m = 138 year
After dividing both sides by 3, we get
This means age of Baichung’s father = 46 year
Now, by substituting the value of m, we can calculate the age of Baichung and the age of Baichun’s grandfather.
Therefore,
Age of Baichung = m – 29 = 46 – 29 = 17 year
Age of Baichung’s grandfather = m + 26 = 46 + 26 = 72 year
Thus,
Age of Baichung = 17 year
Age of Baichung’s father = 46 year
Age of Baichung’s grandfather = 72 year
Hope it helps you!
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