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Fran is three times as old as Nancy. In four years, she’ll be twice as old as Nancy. How old are they now?

Respuesta :

Fran is 12 and Nancy is 4.
4x3 is 12
In four years, Nancy is 8, and Fran is 16.
8x2 is 16
calculista

Answer:

Fran is [tex]12[/tex] years old now

Nancy is [tex]4[/tex] years old now

Step-by-step explanation:

Let

x-----> Fran's age

y----> Nancy's age

we know that

[tex]x=3y[/tex] -----> equation A

[tex]x+4=2(y+4)[/tex] ----> equation B

substitute equation A in equation B and solve for y

[tex]3y+4=2y+8[/tex]

[tex]3y-2y=8-4[/tex]

[tex]y=4[/tex]

Find the value of x

[tex]x=3y[/tex] ---> [tex]x=3(4)=12[/tex]

therefore

Fran is [tex]12[/tex] years old now

Nancy is [tex]4[/tex] years old now

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