Question

Rahul age is twice as old as Ravi.5 years ago his age was three time ravi age.
1.what would be the Rahul's present age
2.what would be the Ravi's age 5 years ago
3.what was Rahul's age 5 year's ago
4.Find Ravi's present age ​

Answer 1

$\large \underline{\pmb{\frak{Given....}}}$

Given that, Rahul's age is twice as old as Ravi's. Five years ago, his age was three times Ravi's age.

$\large \underline{\pmb{\frak{To~ find....}}}$

We have to find the following :

$\qquad$ ⑴ Rahul's present age.

$\qquad$ ⑵ Ravi's age five hears ago.

$\qquad$ ⑶ Rahul's age five years ago.

$\qquad$ ⑷ Ravi's present age.

$\large \underline{\pmb{\frak{Explaination....}}}$

Here, it is said that Rahul's age is twice as Ravi's age. So, taking Ravi's age as a, and Rahul's age as 2a, we will be solving further using simple transposition method.

$\large \underline{\pmb{\frak{Solution....}}}$

☀ According to the question, let :

$\qquad$❏ Ravi's age = $\sf a$

$\qquad$❏ Rahul's age = $\sf 2a$

☀ Five years ago, Rahul's age was three times as Ravi's age, let :

$\qquad$❏ Rahul's age 5 years ago = (2a-5)

$\qquad$❏ Ravi's age 5 years ago = 3(a-5)

☀ Equating them and solving :

$\qquad \sf ➟~~ 3(a - 5) = (2a - 5)$

$\qquad \sf ➟ ~~3a - 15 = 2a - 5$

$\qquad \sf ➟ ~~3a - 2a - 15 + 5 = 0$

$\qquad \sf ➟~~ a - 10 = 0$

$\qquad \sf ➟ ~~a = 10$

• Therefore, Ravi's present age is 10 years.

☀ Finding Ravi's age five years ago :

$\qquad \sf ➟~~ a - 5$

$\qquad \sf➟~~ 10 - 5$

$\qquad \sf ➟~~ 5 \:$

• Therefore, Ravi's age five years ago is 5 years.

☀ Finding Rahul's age using Ravi's age :

$\qquad \sf ➟ ~~2a$

$\qquad \sf➟ ~2(10)$

$\qquad \sf➟ ~~20$

• Therefore, Rahul's present age is 20 years.

☀ Finding Rahul's age five years ago :

$\qquad \sf➟ ~~(2a - 5)$

$\qquad \sf ➟~~ 2(10) - 5$

$\qquad \sf➟~~ 20 - 5$

$\qquad \sf➟~ 15$

• Therefore, Rahul's age five years ago is 15 years.

_________________________

The answers are :

$\qquad$ ⑴ 20 years

$\qquad$ ⑵ 5 years

$\qquad$ ⑶ 15 years

$\qquad$ ⑷ 10 years

Answer 2

Answer:

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