Question 265753
Lily is 13 years older than Richie. Next year, she will be twice as old as he is. How old are both of them of them now? 
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Equations:
NoW DATA:
Let Lily be "L" years old
Let  Rickie be "R" years old
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Next Year DATA"
Lily will be L+1
Rickie will be R + 1
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Equations:

L = R + 13
L+1 = 2(R + 1)
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Substitue for "L" and solve for R:
R+13+1 = 2R + 2
R + 14 = 2R + 2
R = 12 (Rickie's age now)
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Since L = R + 13, L = 12+13 = 25 (Lily's age now)
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Cheers,
Stan H.