Monday 20 February 2012

DAY 385

Tom: Give me four and we'll each have the same.
Jane: Give me four and I'll have twice as many as you.

How many does each have?

Answer:

Tom has 20 and Jane has 28 ............ If gaining four will make Tom and Jane equal, Jane must have 8 more than Tom.

Let x = Tom
Let x + 8 = Jane

2(x-4) = x + 12
2x - 8 = x + 12
x = 20
x + 8 = 28

OR

Let x = Jane
Let x - 8 = Tom

2(x-12) = x + 4
2x - 24 = x + 4
x = 28
x - 8 = 20

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