SOLUTION: Elsie is twelve years older than her brother Andy. Four years from now, Andy will be 2/3 as old as Elsie. How old are they now ?

Question 370338: Elsie is twelve years older than her brother Andy. Four years from now, Andy will be 2/3 as old as Elsie. How old are they now ?
Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
Elsie is twelve years older than her brother Andy. Four years from now, Andy will be 2/3 as old as Elsie. How old are they now ?
Let E = the age of Elsie
A = the age of Andy
E = A + 12
A+4 = 2/3(E +4)
Substitute the value of E in eq. 1 to eq. 2
A+4 = 2/3(A+12+4)
A+4 = 2/3(A+16)
Multiply both sides by 3/2
3A/2+6 = A+16
A/2 = 10
A = 20
Andy is 20 years old
So,
E = 20+12 = 32
Elsie is 32 years old
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