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Verizon [17]
4 years ago
6

Pat is 20 years older than his son patrick. in 8 years pat will be twice as old as patrick. how old are they now?

Mathematics
1 answer:
Semenov [28]4 years ago
4 0
Let p = son Patrick's age
then father Pat's age is (p + 20)

in 8 years, son Patrick's age will be p + 8
in 8 years, Pat's age will be (p + 20) + 8

If Pat will be twice as old as son Patrick in 8 years we can write the following equation:
(p+20) + 8 = 2(p+8) and solve for p

p+28 = 2p + 16
12 = p

This means that patrick is 12 years old
And pat is 32 years old
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One method is to plot the points P(3,6) and Q(7,3) on the same xy grid.  Plot a third point R at (3,3). See the diagram below.

A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.

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Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

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4 years ago
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