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25 January, 17:29

Alex is six years older than his sister, Emma. The sum of their ages is 32. How old is Alex?

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Answers (2)
  1. 25 January, 18:18
    0
    First, assume Alex is X years old and that Emma is Y years old.

    Since Alex is 6 years older than Emma, it means X - 6 = Y.

    Since the sum of their ages is 32, it means X + Y = 32.

    Substitute the Y in the second equation with X - 6 to get X + (X-6) = 32. This is simplified to 2X - 6 = 32 or 2X = 38. Solving the equation for X gets that X = 19.

    This means Alex is 19.
  2. 25 January, 19:24
    0
    Let Emma = e, Alex = 6+e because he is 6 years older than Emma. Since their sum is 32, you would add e + (6+e) = 32 and solve for e.

    e + (6+e) = 32

    6+2e=32

    2e=32-6

    2e=26

    e=26/2

    e=13

    So Emma is 13, Alex is 13+6=19 years old.
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