# Today, Tom is .25 of Jordan's age. In 2 years, Tom will be 1/3 of Jordan's age. How old is Jordan today?

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by makaylasf310

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by makaylasf310

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Present Ages:

Jordan : x

Tom: ¹/₄ x (1/4 of Jordan's age)

Ages in 2 years:

Jordan: x + 2

Tom: ¹/₄ x + 2

Equation: In 2 years, Tom's ages will be ¹/₃ of Jordan's age

¹/₄ x + 2 = ¹/₃ (x + 2)

¹/₄ x + 2 = ¹/₃ x + ²/₃

LCD: (3)(4) or 12

12 [¹/₄ x + 2 = ¹/₃ x + ²/₃] 12

3x + 24 = 4x + 8

4x - 3x = 24 - 8

x = 16

Present Ages:

Jordan: x ⇒ 16 years old

Tom: ¹/₄ x ⇒ ¹/₄ (16) = 4 years old

Ages in 2 years: Tom will be ¹/₃ of Jordan's age

4 + 2 = ¹/₃ (16 + 2)

6 = ¹/₃ (18)

6 = 6 True