Answers

  • Brainly User
2016-06-11T11:46:08+08:00
0.25 = 1/4

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

ANSWER:  Jordan is 16 years old.

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  
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