que.
After 32 years, Rahim will be 5 times as old as he was 8 years ago. How old is Rahim today?
Answers
Answer:
Let Rahim age=x
By statement
x+32=5(x−8)
x+32=5x−40
72=4x
x=18
Rahim is 18 years old today.
Answer:
We have given that,
After 32 years, Rahim will be 5 times as old as he was 8 years ago.
Let the present age of Rahim be ‘x’ years.
8 years ago;
Rahim’s age 8 years ago would be = (x – 8) years
Now,
After 32 years from the present age;
Rahim’s age after 32 years will be = (x + 32) years------- (1)
According to the question,
After 32 years, Rahim will be 5 times as old as he was 8 years ago.
Converting into numerical form;
After 32 years,
Rahim’s age will be = 5(x−8)
------ (2)
On equating equation (1) and equation (2), we obtained
⇒x+32=5(x−8)
Now, solving for the value of ‘x’.
Simplifying the above equation, we get
⇒x+32=5x−40
Subtracting 32 from both the sides of the equation, we get
⇒x=5x−72
Subtracting 5x from both the sides of the equation, we get
⇒−4x=−72
Dividing both the sides of the equation by -4, we get
⇒x=18
Therefore,
The present age of Rahim is ‘x’ which is equal to 18 years.
Rahim’s today age is 18 years.
Hence, it is the required answer.