Question

Baichung father is 26 years younger than baichung's grandfather and 29 years older than buy things does a sum of the age of all three is 135 year what is the age of each one of them​

Answer 1

Answer:

Baichung's age =17 years

Baichung's grandfather's age =72 years

Step-by-step explanation:

Let age of Baichung's father age be x years

∴ Baichung's age and his grandfather's age ⇒(x−29) and (x+26) yrs respectively.

As per the question, Sum of ages of 3 people =135 years

∴x+x−29+x+26=135

3x−3=135

Transpose 3 to RHS, we will get,

3x=138

Divides both sides by 3, we will get

x=  

3

138

​  

 

⇒x=46

Baichung's father age =x=46 years

Baichung's age =x−29=46−29=17 years

Baichung's grandfather's age =x+26=46+26=72 years

Answer 2

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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