Question

The ratio of present age of Aakash and Prakash is 5:4. The age of Aakash after 4 years is 12 years more than 4 years before age of Prakash. Find present age of Aakash.​

Answer 1

Here it is buddy, hope it helps!

Answer 2

$\boxed {\underline {\mathbb {QUESTION:-}}}$

The ratio of present age of Aakash and Prakash is 5:4. The age of Aakash after 4 years is 12 years more than 4 years before age of Prakash. Find present age of Aakash.

$\boxed {\underline {\mathbb {FINAL\:ANSWER:-}}}$  

$\boxed{Age \:of\:akash \Longrightarrow {20 years}}$

$\boxed{Age \:of\:Prakash \Longrightarrow {16 years}}$

$\boxed {\underline {\mathbb {GIVEN:-}}}$

ratio of present age of Aakash and Prakash is 5:4

age of Aakash after 4 years is 12 years more than 4 years before age of Prakash

$\boxed {\underline {\mathbb {TO\:FIND:-}}}$

Present age of akash  

$\boxed {\underline {\mathbb {THINGS\:TO\:ASSUME:-}}}$

Let the present age of akash as 5x

And

Present age of prakash as 4x

$\boxed {\underline {\mathbb {SOLUTION:-}}}$

According to question  

Aakash after 4 years is 12 years more than 4 years before age of Prakash

Let’s put in the porm of equation we get  $\boxed {5x+4=12-4+4x}$

Now simplifying the equation  

$5x+4=12-4+4x\\5x+4=8+4x$

$5x-4x=8-4$ [bringing 4x to LHS and 4 to RHS]

$\boxed {x=4}$

As we got value of x so put here

Age of  Aakash = 5x ⇒ $\boxed {5 \times 4 \Longrightarrow {20\:yeas}}$

Age of  Prakash = 4x ⇒ $\boxed {4 \times 4 \Longrightarrow {16\:yeas}}$

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