BEEBee2841 BEEBee2841
  • 22-10-2020
  • Mathematics
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The ages Edna, and Elsa are consecutive integers. The sum of their ages is 114. What are their ages?

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 22-10-2020

Answer:

Edna = 56.5

Elsa = 57.5

Step-by-step explanation:

Represent Edna age with x; Elsa age will be x + 1

So,

[tex]x + x + 1 = 114[/tex]

[tex]2x + 1 = 114[/tex]

Make 2x the subject

[tex]2x = 114 - 1[/tex]

[tex]2x = 113[/tex]

Solve for x

[tex]x = 113/2[/tex]

[tex]x = 56.5[/tex]

Elsa age is calculated as thus;

[tex]Elsa = x + 1[/tex]

[tex]Elsa = 56.5 + 1[/tex]

[tex]Elsa = 57.5[/tex]

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