SOLUTION: how to write an equation of three people ages 12, 56 and 60 when their ages add up to 150 how old will the be?

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: how to write an equation of three people ages 12, 56 and 60 when their ages add up to 150 how old will the be?      Log On


   



Question 664295: how to write an equation of three people ages 12, 56 and 60 when their ages add up to 150 how old will the be?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The three people start with a total age of
12+%2B+56+%2B+60+=+128 so some years down the road their total age will go above 150. How may years fro now is that?
Let's assume that that happens in x years.
At that time, the three people will be
{{12+x}}}, 56%2Bx and 60%2Bx years old
12%2Bx+%2B+56%2Bx+%2B+60%2Bx+=+150
128+%2B+3x+=+150
3x+=+22
x=7.333
So in 7 years they will total to 149. in 7 years, they are 19, 63 and 67
At that point, whichever person has the earliest birthday will put them over the top (assumes that 2 or kmore of them are not born on the same day).
That makes three possible answers
(20, 63, 67) , (19,64,67) or (19,63,68)