aileen's brother is twice as old as her. Ten years from now, her brother will be 13 years older than her. what is aileen's age?
her age now --- x
his age now --- 2x
in 10 years:
her age = x+10
his age = 2x+10
(2x+10) -(x+10) = 13
x = 13
She is now 13
check:
her age now is 13
his age now is 26
in 10 yrs, she will be 23 , he will be 36
difference in their ages = 36-23 = 13
All is good
To find Aileen's age, let's set up an equation based on the given information.
Let's say Aileen's current age is 'x' years. According to the problem, her brother is twice her age, so his age would be '2x' years.
Ten years from now, Aileen's age would be 'x + 10' years, and her brother's age would be '2x + 10' years.
According to the problem, her brother will be 13 years older than her ten years from now, so we can set up the equation:
2x + 10 = x + 10 + 13
Let's solve this equation to find the value of 'x', which represents Aileen's current age.
2x + 10 = x + 23
Rearranging the equation:
2x - x = 23 - 10
x = 13
Therefore, Aileen's current age (x) is 13 years old.