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29 October, 01:06

Maria is 10 years older than Zohar. The sum of their ages 23. Which equation would represent this scenario?

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  1. 29 October, 03:43
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    Since Zohar is 6 1/2, Maria must be 16 1/2.

    Explanation:

    There are two equations, but they can be collapsed into one (and solved!):

    M = Z + 10

    M + Z = 23

    (Z+10) + Z = 23 <<< this equation represents the stated problem, with one unknown

    2Z = 13 <<< simplified

    Z = 13/2 = 6 1/2 <<< solved (it is very unusual for age problems to have fractional answers)
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