Ram's father is 26 years younger than Ram's grandfather and 29 years older than Ram. The sum of their ages of all the three is 135 years. What is the age of each one of them?
Answers
Answered by
77
let rams fathers age be =x
rams grandfather age =x+26
rams age =x-29
total age =135
x+x+26+x-29=135
3x+(+26-29)=135
3x+-3=135
3x=135-3
3x=132
x=132/3
x=44
rams fathers age =x=44
grandfather=x+26=44+26=70
rams age =x-29=44-29=15
rams grandfather age =x+26
rams age =x-29
total age =135
x+x+26+x-29=135
3x+(+26-29)=135
3x+-3=135
3x=135-3
3x=132
x=132/3
x=44
rams fathers age =x=44
grandfather=x+26=44+26=70
rams age =x-29=44-29=15
Answered by
10
Step-by-step explanation:
Let the age of ram's be x years.
The age of his father = x + 29 years,
and the age of his grandfather = x + 29 + 26 = (x + 55) years.
As per the conditions, we get
x + x + 29 + x + 55 = 135
⇒ 3x + 84 = 135
⇒ 3x = 135 – 84 (transposing 84 to RHS)
⇒ 3x = 51
⇒ x = 51 ÷ 3 (transposing 3 to RHS)
⇒ x = 17
Hence Baichung’s age = 17 years
Baichung’s father’s age = 17 + 29 = 46 years,
and grand father’s age = 46 + 26 = 72 years
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