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Today Arlene is one-fourth of Justin's age. In 10 years, Arlene will be 50% of Justin's ageHow old was Arlene last year?

User EdvardM
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1 Answer

10 votes

Answer:

Explanation:

Let Justin's age be x

Arlene today is 1/4 x

Ten years from now

Arlene: 1/2 (x + 10) = 1/4 x + 10 Remove the brackets

1/2 x + 5 = 1/4x + 10 Subtract 1/4x from both sides.

1/2 x - 1/4x + 5 = 10 Combine

1/4x + 5 = 10 Subtract 5 from both side

1/4 x = 10 - 5 Combine

1/4 x = 5 Multiply both sides by 4

x = 5 * 4

x = 20

Arlene is 5 years old (1/4 20) right now

Answer: Last year, Arlene was 4 years old

User Shemsu
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