Answer to Question #201349 in Algebra for FATIMAEZZAHRA

Question

1)Twelve years ago, Mussab was five times as old as KhaledIn year's time Khaled will be half Mussab's age. How old is each man at the moment?

Answer 1

Let KhaledIn is $x$ years old, and Mussab is $y$ years old. Then we have the following equations: $y-20=5(x-20)$ and $y+1=2(x+1).$ It follows that $y=5x-80$ and $y=2x+1$. Therefore, $5x-80=2x+1$, and thus $3x=81.$ We conclude that $x=27$ and $y=2\cdot 27+1=55.$

Answer: KhaledIn is $27$ years old, and Mussab is $55$ years old at the moment.