SOLUTION: Steve is 19 years older than his sister Gloria. In 13 years, he will be twice as old as Gloria. How old is each of them now?

Question 1152560: Steve is 19 years older than his sister Gloria. In 13 years, he will be twice as old as Gloria. How old is each of them now?
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Gloria's age now
= Steve's age now
-----------------------------------

and

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Gloria is 6
Steve is 25
----------------
check:

OK
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let Steve's age be and Gloria's age
if Steve is years older than his sister Gloria, we have
.......eq.1

if in years, he will be as old as Gloria, we have

.......eq.2...substitute from eq.1

.......solve for

go back to
.......eq.1 ..substitute

answer: Steve is years old and Gloria is years old

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