HazellI752313 HazellI752313
  • 03-11-2022
  • Mathematics
contestada

A mother is 27 years older than her daughter. A year ago, the mother was twice as old as her daughter. how old is each now?

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VitorW637307 VitorW637307
  • 03-11-2022

The first thing we have to do is identify the equations:

[tex]\begin{gathered} M\to Mother\text{ age} \\ D\to\text{ Daughter age} \end{gathered}[/tex][tex]\begin{gathered} M=27\to(1) \\ (M_{}-1)=2D\to(2) \end{gathered}[/tex]

We replace the equation 1 by 2 to find the age of the daughter

[tex]\begin{gathered} (27-1)=2D \\ 26=2D \\ D=\frac{26}{2} \\ D=13 \end{gathered}[/tex]

Daughter is 13 years old at present

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