Question

After 32 years, rahim will be 5times as old as he was 8years ago. How old is rahim today?

Answer 1

Answer:

The present age of Rahim is 18 years.

Step-by-step explanation:

Given :

After 32 years = Rahim will be 5 times as old as he was 8 years ago

To find :

Rahim's present age

Solution :

Let his present age be y.

Age after 32 years = y + 32

Age 8 years ago = y - 8

$\boxed{\sf{y + 32 = 5(y - 8)}}$

$\sf{\implies} \: y + 32 = 5(y - 8) \\ \\ \sf{\implies} \:y + 32 = 5y - 40 \\ \\ \sf{\implies} \:y - 5y= - 40 - 32 \\ \\ \sf{\implies} \: - 4y = - 72 \\ \\ \sf{\implies} \:y = \dfrac{72}{4} \\ \\ \sf{\implies} \:y = 18$

y = 18

$\therefore$ The present age of Rahim is 18 years.

Answer 2

Question :

After 32 years, Rahim will be 5 times as old as he was 8 years ago. How old is rahim today?

Solution :

$\underline{\bold{Given :}}$

• The age of Rahim after 32 years = 5 times as he was 8 years ago.

$\underline{\bold{To\:Find:}}$

• The present age of Rahim.

Let the present age of Rahim be x years.

Then,

• The age of Rahim after 32 years = (x+ 32) years
• The age of Rahim 8 years ago =(x-8) years

$\boxed{\therefore{(x+32)=5 (x-8)}}$

$\implies x + 32 = 5x - 40 \\ \implies 32 + 40 = 5x - x \\ \implies 72 = 4x \\ \implies \frac{72}{4} = x \\ \implies 18 = x \\ \implies x = 18$

$\boxed {\green{\therefore{The\:present \:age\: of\: Rahim\:is\: 18 \:years.}}}$