Finding the Ages of 5 People
1) The age of 5 people totals 253. John is twice as old as
Jim, and Frank is 5 years older than Jim. Wilma is 7 years younger
than John, and Linda is 2 years older than Wilma. How old is
each one?
Using a good formula can really make solving this easy.
n + (2n) + (n+5) + (2n-7) + (2n-5) = 253 (We base the other
terms on "n," the age for Jim.)
8n + (-7) = 253 (Here we add up the "n's" and the numbers)
8n = 260 (We subtracted the negative 7 by adding a positive
7 to it; and did the same for both sides)
n = 32.5
Since "n" = 32.5 (the age of Jim), then we can add this number
to the variables above, in each term, to easily figure out the
other people's ages:
32.5 -- Jim (n)
65 -- John (2n)
37.5 -- Frank (n + 5)
58 -- Wilma (2n-7)
60 -- Linda (2n-5)
253 -- TOTAL