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Hannah was born five years and seven months after Christopher. The sum of their ages is 48 and eleven-twelfths years. How old is Christopher?

Please show work! :)

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You are given the sum and the difference of the ages. This is easily solved by "elimination." Let h and c represent Hannah's and Christopher's ages, respectively.
.. c -h = 5 7/12
.. c +h = 48 11/12
Add the two equations to eliminate the variable h.
.. 2c = 53 18/12 = 54 6/12
.. c = 27 3/12

Christopher is 27 years and 3 months old.
User Damith Udayanga
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