SOLUTION: Mary is less than 15 years old. She is half as old as Justin. In 11 years she will be 2/3 years old as Justin. How old is Justin?

Question 1154094: Mary is less than 15 years old. She is half as old as Justin. In 11 years she will be 2/3 years old as Justin. How old is Justin?

Found 3 solutions by josgarithmetic, MathLover1, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
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Mary is less than 15 years old.
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She is half as old as Justin. In 11 years she will be 2/3 years old as Justin. How old is Justin?
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Mary, y/2
Justin, y

-

-------------Justin, now.

Mary would be and in agreement with first sentence.
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let Mary ‘s age be and Justin’s age
if Mary is less than years old, we have
....1)

if she is as old as Justin, we have
.....2)

if in years she will be years old as Justin, we have

......3)

from 2) and 3) we have

.......both sides multiply by

Justin is years old

check if if Mary is less than years old
.....2).....substitute

-> true, because

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Mary is less than 15 years old. She is half as old as Justin. In 11 years she will be 2/3 years old as Justin. How old is Justin?

Mentioning that Mary is < 15 years-old serves no purpose, whatsoever.
Let Justin's age be J
Then Mary's is:
We then get:
3J + 66 = 4J + 44 ------ Multiplying by LCD, 6
3J - 4J = 44 - 66
- J = - 22
J, or
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