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The sum of Jack and his father's ages is 52. Jack's father's age is 2 less than 5 times Jack's age. Find the ages of Jack and his father.

 Apr 7, 2020
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J  +  F   =  52      ( 1)

F  =  5J - 2         ( 2)

 

Sub  (2)  into (1)

 

J + [ 5J - 2]  =  52   simplify

 

6J - 2  =  52   add 2 to both sides

 

6J  =   54         divide both sides by  6

 

J  = 9  =  Jack's age

 

F = 5(9)  - 2  =   43  = Father's age

 

 

cool cool cool

 Apr 7, 2020

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