Question

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

Answer 1

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

${\boxed{\sf\:{Age\;of\;Radha\;Father}}}$

= p

${\boxed{\sf\:{Age\;of\;Radha\;GrandFather}}}$

= p + 26

${\boxed{\sf\:{Age\;of\;Radha}}}$

= p - 29

${\boxed{\sf\:{Situation}}}$

p + (p + 26) + (p - 29) = 135

p + p + 26 + p - 29 = 135

3p - 3 = 135

3p = 135 + 3

3p = 138

$\tt{\rightarrow p=\dfrac{138}{3}}$

p = 46

${\boxed{\sf\:{Age\;of\;Radha\;Father}}}$

= p years

= 46 years

${\boxed{\sf\:{Age\;of\;Radha\;GrandFather}}}$

= p + 26  

= 46 + 26

= 72 years

${\boxed{\sf\:{Age\;of\;Radha}}}$

= p - 29

= 46 - 29

= 17 years

Hence we get :-

Radha = 17 years

Radha father = 46 years

Radha Grandfather = 72 years

Answer 2

Answer:

Radha = 17 years

Radha's father = 46 years

Radha,s grandfather = 72 years

Step-by-step explanation:

Let Radha's age = x years

Age of Radha's father = x + 29 years

Age of Radha's grandfather =  x + 29 +26 years = X = 55 years

A.T.Q

x + x + 29 + x + 55  =  135

3x + 84 = 134

3x = 135 -84

3x  = 51

x = 51/3 = 17

So,

Age of Radha = x years = 17 years

Age of Radha's father = x+29 years = 46 years

Age of Radha's grandfather = x+29+26 years = 72 years