# SOLUTION: Elise is four times as old as Amanda. In ten years, Amanda's age will be half of Elise's. How old are they now?

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 Click here to see ALL problems on Age Word Problems Question 1055: Elise is four times as old as Amanda. In ten years, Amanda's age will be half of Elise's. How old are they now?Answer by usyim88hk(157)   (Show Source): You can put this solution on YOUR website!I love this kind of question, let's start now : Let x be the age of Amanda, so now we know : x is Amanda's age (now) 4x is Elise's age (now) x+10 is Amanda's age (after 10 years) 4x+10 or 2(x+10) is Elise's age (after 10 years) : So now we know that 4x+10 is equal to (x+10)/2 because they are both the age of Elise after ten years, so now we can make an equation and solve it : 4x+10 = 2(x+10) : Divide by 2 on both sides : 2x+5 = x+10 : subtract x from both sides : x+5 = 10 : Subtract 5 from both sides : x=5!!! : So now we know that Amanda is five years old now, and Elise is 20 years old now