Question

1. Fifteen years from now Rafiq's age will be four times his present age. What is Rafiq's present age? ​

Answer 1

Question:

• Fifteen years from now Rafiq's age will be four times his present age. What is Rafiq's present age?

Answer:

• Present age of Rafiq is 5 years.

Given:

• Fifteen years from now Rafiq's age will be four times his present age.

To Find:

• Present age of Rafiq?

Solution:

• Let present age of Rafiq be m years.
• So, Rafiq age fifteen years from now is (m + 15) years.

According to the question,

• Rafiq's Age (15 years from now) = 4(Present age of Rafiq)

Therefore,

⇒ $\sf m + 15 = 4m$

⇒ $\sf 4m - m = 15$

⇒ $\sf 3m = 15$

⇒ $\sf m = {\cancel{\dfrac{15}{5}}}$

➠ $\bf\red{m = 5}$

$\large{\boxed{\sf{\therefore\:Present\:age\:of\:Rafiq = \bf{5\:years}}}}$

Let's Verify:

We know that,

↦ $\sf m + 15 = 4m$

Put m = 5 in above equation we get,

↦ $\sf 5 + 15 = 4\:\times\:5$

↦ $\sf 20 = 20$

➦ $\bf\purple{LHS = RHS}$

$\large{\boxed{\sf{Hence,\:Verified\:\checkmark}}}$

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Answer 2

Solution :

Fifteen years from now , Rafiq 's age will be four times his present age.

We have to find the present age of Rafiq .

Let us assume that his present age is x years .

After fifteen years from now

His age >> x + 15 years

Now this will be four times his present age(which is x years)

This leads us to forming a basic linear equation

x + 15 = 4x

Transferring x to the other side

>> 3x = 15

>> x = 5

So , we can conclude that the present age of Rafiq is 5 years. This is the required answer .

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