The present age of Rakesh and Dheeraj is 5:4. Age of Rakesh 2 years ago was equal to the age of Dheeraj four year hence. Find the present age of Dheeraj (in years).

To find the present age of Dheeraj, we can set up algebraic equations based on the information provided in the problem.

Let the present age of Rakesh be $R$ years and the present age of Dheeraj be $D$ years.

According to the first statement, the ratio of the present ages of Rakesh and Dheeraj is 5:4.
We can express this as:
$\frac{R}{D}=\frac{5}{4}$
This gives us our first equation:
$R=\frac{5}{4}D$ (Equation 1)

According to the second statement, the age of Rakesh 2 years ago was equal to the age of Dheeraj 4 years hence (in the future).
We can write this relationship as:
$R-2=D+4$ (Equation 2)

Now, we can substitute the value of $R$ from Equation 1 into Equation 2:
$\frac{5}{4}D-2=D+4$

To solve for $D$, we first simplify the equation by moving all terms containing $D$ to one side and constant terms to the other:
$\frac{5}{4}D-D=4+2$
$\frac{5D-4D}{4}=6$
$\frac{D}{4}=6$

Multiplying both sides by 4:
$D=6\times 4$
$D=24$

Therefore, the present age of Dheeraj is 24 years.