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5 January, 02:02

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations could be used to find Hannahs age, h, if she is the older sibling? Select all that apply.

2h+1=92

2h-1=92

2h+2=92

2h-2=92

h-2=92-h

h-1=92-h

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Answers (1)
  1. 5 January, 05:47
    0
    The correct answers are 2h-2=92 and h-2=92-h.

    Explanation:

    Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

    The sum of these would be h + (h-2), giving us the equation h + (h-2) = 92.

    Combining like terms we would have the first correct choice, 2h-2=92.

    Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
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