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judy is twice as old as adaml, but 6 years ago she was 5 times as old as he was. How old is judy now

Sagot :

Sqdancefanidn

Answer:

  16

Step-by-step explanation:

Age problems can be solved by expressing the given relationships in math terms, then solving the resulting equation(s). Let J represent Judy's age now. Then Adami's age now is J/2. Six years ago, the relationship was ...

  (J -6) = 5(J/2 -6)

  J -6 = 2.5J -30

  24 = 1.5J

  16 = J

Judy is now 16 years old.

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Additional comment

Adami is 8 now. 6 years ago, Judy was 10 and Adami was 2.

Here is an alternate approach. Let 'a' represent Adami's age 6 years ago. The relationship at present is ...

  2(a+6) = 5a +6

  6 = 3a . . . . . . . . . simplify, subtract 2a+6

  2 = a   ⇒   5a+6 = 16

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