math
posted by gloria .
Nancy is 4 years younger than Monica. Seven years from now the sum of their ages will be 82. How old are they know?

math 
Reiny
Now:
Monica's age  x
Nancy's age  x4
seven years from now:
Monica  x+7
Nancy  x4 + 7 = x + 3
so
x4 + x+3 = 82
continue 
math 
Scott
N = M + 4
N + 7 + M + 7 = 82 ... N + M = 68
substituting ... M + 4 + M = 68
solve for M , substitute back to find N 
correction: math 
Reiny
equation should have been
x+7 + x+3 = 82
etc 
math 
Scott
correction for me too (must be contagious)
swap the N and M values
... Nancy is the younger one
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