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27 October, 09:34

Janice is 4 inches shorter than David, and David is 2 inches shorter than Evan. If Evan is 13 inches taller than Kathleen and Kathleen is 6 inches shorter than Krysta, by how many inches is Janice taller than Krysta?

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  1. 27 October, 11:43
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    Answer: Janice is 1 inch taller than Krysta.

    Step-by-step explanation:

    Let the height of Krysta denoted by h.

    According to the given statements, we will write height of each person in terms of 'h'.

    Kathleen is 6 inches shorter than Krysta.

    i. e. Height of Kathleen = h-6

    Evan is 13 inches taller than Kathleen.

    i. e. Height of Evan = (h-6) + 13=h-6+13=h+7

    i. e. Height of Evan = h+7

    David is 2 inches shorter than Evan.

    i. e. Height of David = (h+7) - 2 = h+7-2

    Height of David = h+5

    Janice is 4 inches shorter than David.

    i. e. Height of Janice = (h+5) - 4=h+1

    i. e. height of Janice = height of Krysta + 1 inch [∵ h = height of Krysta]

    ⇒ Janice is 1 inch taller than Krysta.
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