HalenA566186 HalenA566186
  • 31-10-2022
  • Mathematics
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Sergio is 6 years older than Heather. In 6 years the sum of their ages will be 56. How old is Sergio now?

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LamiracleU221482 LamiracleU221482
  • 31-10-2022
[tex]\begin{gathered} \text{let} \\ \text{Heather age=x} \\ \text{Sergio age=6+x} \\ In\text{ 6 years} \\ x+6+(6+x+6)=56 \\ x+6+12+x=56 \\ 18+2x=56 \\ 2x=56-18 \\ 2x=38 \\ x=\frac{38}{2} \\ x=19 \\ \text{Sergio's age=6+19=25 years} \end{gathered}[/tex]

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