Question

Aslam is 7 times older than akram. In 8 years Aslam will be only 3 times older. How old are they both now

Answer 1

Step-by-step explanation:

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Answer 2

Given,

Aslam age $\[ = 7 \times \]$ Akram age

After 8 years,

Aslam age$\[ + 8 = 3 \times \]$ ( Akram age $\[ + 8\]$)

Solution,

Calculate the age of Aslam and Akram.

Consider the age of Aslam and Akram is x and y respectively.

$\[x = 7y - - - - \left( 1 \right)\]$

$\[x + 8 = 3\left( {y + 8} \right) - - - \left( 2 \right)\]$

Put value of x in equation 2.

$\[ \Rightarrow 7y + 8 = 3y + 24\]$

$\[\begin{array}{l} \Rightarrow 4y = 16\\ \Rightarrow y = 4\,\end{array}\]$

Put the value of y in equation 1.

$\[\begin{array}{l}x = 7y\\ \Rightarrow x = 7 \times 4\\ \Rightarrow x = 28\end{array}\]$

Aslam age $\[ = 28\,years\]$

Akram age $\[ = 4\,years\]$