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Jacob is now 12 years younger than Michael. If 9 years from now Michael will be twice as old as Jacob, how old willJacob be in 4 years?
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Chapter 13
Arithmetic on the GMAT
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So right now we're given that Patricia is 12 years old and her sister is only two. So if we represent Patricia's age is a variable X. We're sorry. Let's represent Bernays. Age is the variable X. So Renee is X years old. Then Patricia is always going to be X plus 10 years old. She's always going to be 10 years older in 12. Minus two. Gives us that 10. So we want to find out when X Plus 10 is going to be equal to two X. So So in order to do that, we can just set up the equation again. X Plus 10 equal 22 acts because we're looking for one. Patricia will be twice Bernays age and X represents Rennais. Age X plus 10 represents Patricia's. So now we're going to solve this equation will subtract X from both sides. I don't leave us with 10 is equal to a single X just to remind you again. X represented rennais age. So Renee will be 10 years old, and Patricia, like we saw before, is 10 years older. So Patricia should again be double her age at this point. But also 10 years older in 10 plus 10 gives us 20. So Patricia will be 20 years
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