Math, asked by SWEETRIJAH90, 1 year ago

baichung's father is 26 year younger than baichung's grandfather and 29 years other then baichung the sun of the ages of all the three is 135 days 135 years what is the age of the each of them

Answers

Answered by karthikgvb
3
let b,F,GF be the ages of baichung,bai...father,bai..grand F respectively
by first condition....F=GF - 26....1 equation
by 2nd condition....F=b+29....2 equation
by 3rd condition....b+F+GF=135...3 equation
add 1,2 equations,you will get
2F=GF+b+3
GF+b=2F-3.....4 equation
from 3 equation
GF+b=135-F. substitute this in 4 equation
then,135-F=2F-3
3F=132
F=44. substitute F value in 1,2 equations
you will get GF,b values as
GF=70,b=15.
so baichung 's age is 15
his father's 44
his grandfather's 70
Answered by Anonymous
0

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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

Hope it helps you!

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