Question

Ali is three years younger than Ahmed and Faraz is five years older
than Ahmed, if the sum of their ages is 29, find their respective ages?​

Answer 1

Answer:

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Answer 2

GiveN :

• Ali is three years younger than Ahmed.
• Faraz is five years older than Ahmed.
• The sum if their ages is 29.

To find :

• Ages of Ali, Ahmed and Faraz.

Required Solution :

• Let the age of Ahmed be x
• Then the age of Ali will be x - 3
• Age of Faraz will be x + 5

Now,

According to the Question,

➟ (x – 3) + (x) + (x + 5) = 29

➟ ⠀⠀⠀⠀3x + (– 3 + 5) = 29

➟⠀⠀⠀⠀⠀⠀⠀⠀ 3x + 2 = 29

➟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀3x = 29 – 2

➟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀3x = 27

➟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = 27/3

➟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ x = 9

Hence,

• Age of Ahmed (x) = 9 years .
• Age of Ali (x – 3) = 9 – 3 = 6 years.
• Age of Faraz (x + 5) = 9 + 5 = 14 years.

___________________________

Verification:

As it is given,

Sum of their ages = 29 years.

So ,

Age of Ali, Ahmed and Faraz = 29 years

⇛ 6 + 9 + 14 = 29

⇛ 15 + 14 = 29

⇛ 29 = 29

⠀⠀⠀⠀⠀⠀⠀⠀⠀L.H.S. = R.H.S.

⠀⠀⠀⠀⠀⠀Hence, Verified !!