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Original Question
Ellen is 11 years older than Maja. Last year Ellen was twice as old as Maja. How old is Maja now?Question
Ellen is 11 years older than Maja. Last year Ellen was twice as old as Maja. How old is Maja now?
Answers
Reiny
Maja's age now --- x
Ellen's age now ---- x+11
last year, Maja --- x-1
last year, Ellen ---- x+10
x+10 = 2(x-1)
x+10 = 2x - 2
-x = -12
x = 12
<b>Maja is now 12 years old</b>
check:
now:
Maja = 12
Ellen = 23
last year:
Maja --- 11
Ellen --- 22
was Ellen twice as old as Maja ? YES
Ellen's age now ---- x+11
last year, Maja --- x-1
last year, Ellen ---- x+10
x+10 = 2(x-1)
x+10 = 2x - 2
-x = -12
x = 12
<b>Maja is now 12 years old</b>
check:
now:
Maja = 12
Ellen = 23
last year:
Maja --- 11
Ellen --- 22
was Ellen twice as old as Maja ? YES