Question

Sonu's father is 26 years younger than sonu's grandfather and 29 years older than sonu. the sum of their ages is 135. find the age of each

Answer 1

$\boxed{\boxed{\boxed {\green{\bold{Hey, \:here's\: your\: solution.}}}}}$
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$<b><i><u>Given -</u></i></b>$

Sonu's father of 26 years younger than Sonu's grandmother and 29 years older than sonu.
The sum of their ages is 135
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$<b><i><u>To find - </u></i></b>$

The ages of Sonu, his father and his grandfather.
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$<b><i><u>Solution -</u></i></b>$

Let the age of Sonu be x.

Then, his father's age = x + 29.

And, his grandfather's age = (x + 29) + 26
= x + 29 + 26
= x + 55

Now, according to question,

The sum of their ages is 135
Then,
==> (x) + (x + 29) + (x + 55) = 135

==> x + x + 29 + x + 55 = 135

==> 3x + 84 = 135

==> 3x = 135 - 84

==> 3x = 51

==> x = 51/3

==> x = 17
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$\blue{Hence,\: Sonu's\: age\: = \:x \:=\: 17\: years.}$

$\red{And, \:Sonu's\: father's \:age\: =\: x\: +\: 29\: =\:17 \: +\: 29 \:=\: 46\: years.}$

$\purple{And, \: Sonu's \:grandfather's\: age \:=\: x \:+ \:55\: =\: 17 \:+\: 55 \:=\: 72 \:years.}$
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$\pink{That's \:your\: answer.\: Hope\: it'll \:help \:you.}$

Answer 2

Step-by-step explanation:

Let the Age of Sonu be : S

Given : Sonu's Father is 29 years Older than Sonu

⇒ Age of Sonu's Father : S + 29

Given : Sonu's Father is 26 years younger than Sonu's Grandfather

⇒ Age of Sonu's Grandfather = Age of Sonu's Father + 26

⇒ Age of Sonu's Grandfather = (S + 29) + 26

⇒ Age of Sonu's Grandfather = S + 55

Given : The Sum of their Ages is 135

Age of Sonu + Age of Sonu's Father + Age of Sonu's Gr.Father = 135

⇒ S + (S + 29) + (S + 55) = 135

⇒ 3S + 84 = 135

⇒ 3S = 135 - 84

⇒ 3S = 51

⇒ S = 17

⇒ Age of Sonu : 17 Years

⇒ Age of Sonu's Father : (S + 29) = (17 + 29) = 46 Years

⇒ Age of Sonu's Grandfather = (S + 55) = (17 + 55) = 72 Years