Question

Bharat's father is 26 years younger than Bharat's grandfather and 29 years older than Bharat. The sum of the ages of all the three is 135 years. What is the age of each of them ?







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Answer 1

Step-by-step explanation:

Let age of bharat's father age be x years

$\therefore \: bharat s \: age \: and \: his \: grandfather's \: \\ age$

${\boxed {\Rightarrow (x-29)and (x + 26) yrs respectively.}}$

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

$\therefore \fcolorbox {black}{yellow} {x+x-29+x+26=135;}$

${ \boxed{ \Rightarrow{\fcolorbox{blak}{red} {3x - 3 = 135 }}}}$

Transpose 3 to RHS, we will get,

$\fcolorbox{blue}{green}{3x = 138}$

Divides both sides by 3, we will get

$\Rightarrow \: \fcolorbox{red}{pink}{x = 138; }$

$\Rightarrow \fcolorbox{red}{grey}{ x=46}$

Bharats father age = x = 46 years

${ \boxed{ \red{Bharat's \: age=x-29}}}$

$\Rightarrow\fcolorbox {blue}{red}{46-28}$

$\Rightarrow \fcolorbox{red}{cyan}{17years}$

${ \boxed{ \green{Bharat's \: grandfather's \: age =x+26}}}$

$\fcolorbox{red}{blue}{=46+26}$

$\rightarrow\fcolorbox{green}{purple}{72 years}$

Answer 2

Step-by-step explanation:

Step-by-step explanation:

Let age of bharat's father age be x years

$\therefore \: bharat s \: age \: and \: his \: grandfather's \: \\ age$

${\boxed {\Rightarrow (x-29)and (x + 26) yrs respectively.}}$

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

$\therefore \fcolorbox {black}{yellow} {x+x-29+x+26=135;}$

${ \boxed{ \Rightarrow{\fcolorbox{blak}{red} {3x - 3 = 135 }}}}$

Transpose 3 to RHS, we will get,

$\fcolorbox{blue}{green}{3x = 138}$

Divides both sides by 3, we will get

$\Rightarrow \: \fcolorbox{red}{pink}{x = 138; }$

$\Rightarrow \fcolorbox{red}{grey}{ x=46}$

Bharats father age = x = 46 years

${ \boxed{ \red{Bharat's \: age=x-29}}}$

$\Rightarrow\fcolorbox {blue}{red}{46-28}$

$\Rightarrow \fcolorbox{red}{cyan}{17years}$

${ \boxed{ \green{Bharat's \: grandfather's \: age =x+26}}}$

$\fcolorbox{red}{blue}{=46+26}$

$\rightarrow\fcolorbox{green}{purple}{72 years}$