Question

Kamal is 5 years older than his brother . If the sum of their ages is 23, what are their ages ?

Answer 1

Answer:

• Age of Kamal = 14 years
• Age of his brother = 9 years

Explanation:

Given information,

Kamal is 5 years older than his brother. If the sum of their ages is 23, what are their ages?

• Kamal's age + His brother's age = 23
• Kamal is older than his brother by = 5 years
• Their ages = ?

Let,

• Age of his brother = y years
• As it is stated in question that Kamal is 5 years older than his brother. So, age of Kamal = (y + 5) years

According to the Question,

• Sum of their ages is 23.

Therefore,

➻ Kamal's age + His brother's age = 23

➻ (y + 5) + y = 23

➻ y + 5 + y = 23

➻ y + y + 5 = 23

➻ 2y + 5 = 23

➻ 2y = 23 - 5

➻ 2y = 18

➻ y = 18/2

➻ y = 9

• Hence, age of Kamal's brother is 9 years.

Now,

‣ Age of Kamal = (y + 5) years

Putting value of y,

‣ Age of Kamal = (9 + 5) years

‣ Age of Kamal = (14) years

‣ Age of Kamal = 14 years

• Hence, age of Kamal is 14 years.

Verification,

• Sum of their ages is 23.

Therefore,

➻ Kamal's age + His brother's age = 23

➻ (y + 5) + y = 23

Putting value of y,

➻ (9 + 5) + 9 = 23

➻ (14) + 9 = 23

➻ 14 + 9 = 23

➻ 23 = 23

➻ LHS = RHS

• Hence, Verified ✔

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