SOLUTION: Steve is 19 years older than his sister Ann. In 16 years, he will be twice as old as Ann. How old is each of them now?

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Question 1030274: Steve is 19 years older than his sister Ann. In 16 years, he will be twice as old as Ann. How old is each of them now?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Steve is 19 years older than his sister Ann
S = A + 19.....(1)
In 16 years, he will be twice as old as Ann.
S + 16 = 2(A + 16)......(2)
Replace S in Eq(2) with (A + 19) from
Eq(1)
A + 19 + 16 = 2(A + 16)
A + 35 = 2A + 32
Collect like terms:
2A - A = 35 - 32
A = 3
Ann is 3 years old.
Steve is 22 years old
.................
In 16 years:
Ann will be 19 years old
Steve will be 38 years old.
Hope this helps :-)