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saveliy_v [14]
3 years ago
8

Jim is half his mother's age. His mother is 5 years younger than his father, in total their ages are 100 years. What is Jim's ag

e?
Mathematics
1 answer:
atroni [7]3 years ago
5 0

Jim is 19

let fathers age be x then mothers age = x - 5 and Jim's age is \frac{1}{2}(x - 5)

Total their ages and equate to 100

x + x - 5 + \frac{1}{2}(x - 5 ) = 100

multiply through by 2 to eliminate the fraction

2x + 2x - 10 + x - 5 = 200

5x - 15 = 200 ( add 15 to both sides )

5x = 215 ( divide both sides by 5 )

x = 43

father is 43 years, mother is 38 and Jim is 19


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6 0
3 years ago
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5 0
3 years ago
Please help. Thank you! :)
Tcecarenko [31]
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