# 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?

1. Reiny

Now:
Monica's age ---- x
Nancy's age ---- x-4

seven years from now:
Monica ---- x+7
Nancy ----- x-4 + 7 = x + 3

so
x-4 + x+3 = 82

continue

2. 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

3. Reiny

equation should have been

x+7 + x+3 = 82

etc

4. Scott

correction for me too (must be contagious)

swap the N and M values
... Nancy is the younger one

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