SOLUTION: The sum of the ages of dorothy and dorilyn is 41. In 5 years dorothy will be twice as old as dorilyn. Find their ages 3 years ago

Question 922361: The sum of the ages of dorothy and dorilyn is 41. In 5 years dorothy will be twice as old as dorilyn. Find their ages 3 years ago
Answer by srinivas.g(540) (Show Source): You can put this solution on YOUR website!
Let x and y be the present ages of dorothy and dorilyn.
so x+y= 41
In 5 years dorothy will be twice as old as dorilyn
so, x+5 = 2*(y+5)
x+5 =2*y+2*5
x+5 = 2y+10
move 5 to the right
x=2y+10-5
x=2y+5
keep this x=2y+5 in x+y= 41
(2y+5)+y= 41
3y+5 =41
subtract 5 on both sides
3y+5 -5 =41-5
3y = 36
divide with 3 on both sides
3y/3 = 36/3
y= 12
x= 2y+5
=2*12+5
=29
so dorothy & dorilyn's present ages are 29 years & 12 years
after 3 years dorothy age will be 29+3 = 32 years
after 3 years dorilyn's age will be 12+3 =15 years

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