Question

Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?

A) 21 years old

B) 22 years old

C) 24 years old

D) 27 years old

Answer 1

Answer:

Let v represent Victor’s age.

Then Mr. Smith’s age would be represented by (v + 81.)

Three years from now, Victor’s age will be (v + 3), and Mr. Smith’s age will be (v + 84).

According to the problem, Mr. Smith’s age 3 years from now (v + 84) will be equal to 4 times Victor’s age 3 years from now (v + 3).

As an equation this would be written: v + 84 = 4(v + 3). Solving for v yields the solution v = 24.

Victor is now 24 years old.

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Answer 2

Answer:

Option (c) 24 years

Step-by-step explanation:

First of all we have to understand the question thoroughly and then approach to solve it.

In the question it is given that Mr.Smith is 81 years older than Victor whose present age is unknown. So,we may take Victor's age as x.

Now we have got that Mr.Smith's age = 81+x.

It is given that in 3 years Mr.Smith will be 4 times as old as Victor is now after 3 years.

Always remeber that the other person's age would also be increased after a certain period of time. So,don't get confused. Now after all this we have got the equation as

> 81 + 3 + x = 4(x + 3)

> 84 + x = 4x + 12

Now grouping the variables and constants on either sides we get,

4x - x = 84 - 12

> 3x= 72

> x = 72/3

> x = 24

So,Victor's present age would be 24 years(before 3 years,after 3 years his age would be 27 years)

Now to tell the main idea of how i solved this question i would like to explain you a little more about this in detail.

In the above equation we added 3 to 81 + x because in the question it is mentioned that after 3 years his age became 4 times the age of Victor. In order to find the age of Victor we had to add it as the addition of 3 is linked with the age of Victor which then became 4 times. And in the next step on the other side of equal to we did 4(x + 3) because Victor's age will also increase after years and so it became x + 3. We multiplied it with 4 because it is given in the question that as Victor's grandpa's age is increased by 3 so Victor's present age (x + 3) (we are referring it to be present age after 3 years)would be 4 times his own age 4(x + 3) equal to Mr. Smith's age(84 + x).

Hope this helps you.