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Catherine's age and her mother's age when added together makes 83. in 2 years time Catherine's mother will be twice as old as Catherine. how old are they both now?
Wiki User
∙ 14y ago
27 and 56
Let x represent Catherine's age and y represent her mother's age.
The, from the problem, we have the following two equations:
x+y=83
y+2=2(x+2)
Now find y in terms of x in the second equation, substitute that value of y into the first equation, and solve:
y+2=2x+4
y=2x+2
x+2x+2=83
3x+2=83
3x=83-2=81
x=81/3=27
y=2*27+2=56
Wiki User
∙ 14y ago
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