Question

Baichung's father is 26 years younger than Baichung's grandfather and 29 years older than Baichung.The sum of the ages of all the three is 135 years.what is the age of eash one of them?​

Answer 1

$\\ \\ \large\underline{ \underline{ \sf{ \red{given:} }}}$

• Baichung's father is 26years younger than Baichung's grandfather and 29 years older than Baichung.

• Sum of the ages of all three is 135yrs.

$\\ \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}}$

• Age of Baichung , Baichung's father and Baichung's grandfather.

$\\ \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}$

Let Baichung's father age be 'x'.

➥ Grandfather is 26yrs older than father.

Hence ,

Baichung's grandfather age will be (x+26)yrs.

➥ Baichung is 29yrs younger than father.

Hence ,

Baichung's age will be (x-29)yrs.

Sum of their ages is 135yrs.

Hence ,

➟ x + x + 26 + x - 29 = 135

➟ 3x - 3 = 135

➟ 3x = 138

➟ x = 138/3

➟ x = 46

___________________

➤ Baichung's Father's age = x

ㅤㅤㅤ ㅤㅤㅤㅤㅤㅤㅤ ㅤ= 46yrs

➤ Baichung's Grandfather's age

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ = x + 26

ㅤㅤㅤㅤㅤ ㅤㅤㅤㅤ= 46 + 26

ㅤㅤㅤㅤ ㅤ ㅤ ㅤㅤ = 72yrs

➤ Baichung's age = x - 29

ㅤㅤㅤ ㅤㅤㅤ ㅤ= 46 - 29

ㅤㅤ ㅤㅤㅤ ㅤㅤ= 17yrs

____________________

Hence ,

• Baichung's father age is 46yrs.

• Baichung's grandfather age is 72yrs.

• Baichung's age is 17yrs.

Answer 2

Given :

Baichung 's father is 26 years younger than Baichung's grandfather and 29 year older than Baichung .

The sum of the age of all the three is 135 years.

Solution :

$\longmapsto\tt{Let\:Age\:of\:Grandfather\:be=x}$

As Given that Baichung 's father is 26 years younger than Baichung's grandfather and 29 year older than Baichung .So ,

$\longmapsto\tt{Age\:of\:Baichung's\:Father=x-26}$

$\longmapsto\tt{Age\:of\:Baichung=x-26-29=x-55}$

A.T.Q :

$\longmapsto\tt{x+x-26+x-55=135}$

$\longmapsto\tt{3x-81=135}$

$\longmapsto\tt{3x=135+81}$

$\longmapsto\tt{3x=216}$

$\longmapsto\tt{x=\cancel\dfrac{216}{3}}$

$\longmapsto\tt\bf{x=72}$

Value of x is 72 .

Therefore :

$\longmapsto\tt{Age\:of\:his\:Grandfather=x}$

$\longmapsto\tt\bf{72\:yrs}$

$\longmapsto\tt{Age\:of\:his\:Father=72-26}$

$\longmapsto\tt\bf{46\:yrs}$

$\longmapsto\tt{Age\:of\:Baichung=72-55}$

$\longmapsto\tt\bf{17\:yrs}$