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Friday, August 18, 2023

CFAT Practice Test Questions with Answers in PROBLEM SOLVING - ps022

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1. Seven years from now, Philip will be ten years younger than two times his current age. What will be his age four years from now?


a. 17

b. 34

c. 21  ---  answer 

d. 24



Solution 


step1

Solve for Philip's current age


Let: 


= Philip current age


x + 7 

= Philip's age seven years from now


2x

= two times his current age


2x - 10

= ten years younger than two times his current age



Equation:


x + 7 = 2x − 10

7 + 10 = 2x - x

17 = x

x = 17

(Philip's current age)



step2

Solve for Philip's age four years from now


= 17 + 4

= 21




2. Three years ago, Jade was 14 years younger than twice her age now. How old is she seven years from now?


a. 11

b. 18  ---  answer 

c. 14

d. 22


Solution 


step1

Solve for Jade's current age 


Let: 


= Jade's age now


x - 3

= Jade's age three years ago


2x

= twice her age now 


2x - 14

= 14 years younger than twice her age now



Equation:


x - 3 = 2x − 14

14 - 3 = 2x - x

11 = x

x = 11

(Jade's age now)



step2

Solve for Jade's age seven years from now


= 11 + 7

= 18 


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