Tuesday, March 10, 2009

Married Couple

A trophy wife said to her husband, "I'm twenty nine years younger than you are, as you well know; we've been happily married for forty-two years, and in that time, I just realized, our combined ages have doubled!" How old were they when they were married?

2 comments:

rachel said...

1/2 ages?

m = man's age when married
w = woman's age when married

m = w +29 [eq 1]
2(m + w) = (m + 42) + (w + 42) [eq 2]

simplify [eq 2]
2 m + 2 w = m + w + 84
m + 2 w = w + 84
m + w = 84 [eq 3]

subsitute eq 1 for m

w + 29 + w = 84
2 w + 29 = 84
2 w = 55
w = 27.5 [eq 4]

subst eq 4 in eq 1 to get man's age:
m = 27.5 + 29
m = 56.5

When married, man's age is 56.5, wife's age is 27.5

(and I did this without Hayden's help!)

Maria said...

With Hayden involved you probably still be stuck explaining what "trophy wife" means.

Rachel has solved two puzzles in a row. Make sure you wake up early tomorrow to beat her up on the next puzzle. Easy one is coming up.

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