Question

(i) Arjun's father's age is 5 years
more than four times Arjun's
age. Find Arjun's age (in years),
if his father is 37 years old.​

Answer 1

Answer

• Arjun's age = 8 years.

Given

• Arjun's father's age is 5 years more than four times Arjun's age.

• Arjun's father's age = 37 years.

To Find

• The age of Arjun.

Step By Step Explanation

Given that Arjun's father's age is 5 years more than four times Arjun's age. Arjun's father's age = 37.

Let us consider Arjun's age be x.

Then equation will be ⤵

=> 5 + 4x = 37

So, let's solve this equation to find the value of x.

$\longmapsto \sf5 + 4x = 37 \\ \\\longmapsto \sf 4x = 37 - 5 \\ \\\longmapsto \sf 4x = 32 \\ \\\longmapsto \sf x = \cancel\cfrac{32}{4} \\ \\\longmapsto \bf x = 8$

Therefore, Arjun's age = 8 years.

__________________________

Answer 2

Given :

• Arjun's father's age = 5 years  more than four times Arjun's  age
• Father's age = 37 years

To find :

• Arjun's age

Solution :

⇒ Now, let's create the equation first.

4x + 5 = 37

⇒ Next, we have to subtract the age by 5.

4x = 37 - 5

    = 32

⇒ Now, we have to divide it by 4.

4x = 32

 x = 32/4

    = 8

Therefore, Arjun's age is 8 if his father's age is 37 years old.

Know more~

• Here, we have used transposing method to find the answer.