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

⛦ Given :

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

⛦ To find :

• The age of Ali, Ahmed and Faraz.

⛦ Solution :

Let's assume the age of Ahmed as x

Then the age of Ali is x - 3

And ave of Faraz is x + 5

Now,

According to Question,

⟼ (x - 3) + (x) + (x + 5) = 29

⟼ 3x + 2 = 29

⟼ 3x = 29 - 2

⟼ 3x = 27

⟼ x = 27/3

⟼ x = 9

Thus,

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

__________

Let's check the answer :

Sum of age of these three boys = 29 yrs.

Thus,

Age of Ali + Age of Ahmed + Age of Faraz = 29

→ 6 + 9 + 14 = 29

→ 15 + 14 = 29

→ 29 = 29

Hence, Checked !!