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When Kate was born, her older brother was 4 less than 1/4 of her mother's age. 8 years later,
her mother was 5 less than 3 times her brother's age. How old is Kate's brother now? Thanks for help.

 Dec 29, 2021
 #1
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M = Mother's age 8 years ago

B = brother's age 8 years ago

 

M = 4B + 4

M+8 = 3(B+8) - 5 -> M+8 = 3B+24-5 -> M = 3B + 11

4B + 4 = 3B + 11

B = 7

B+8 = 15

Answer: 18

 

pretty sure thats the answer lol if not then I messed up somewhere

 Dec 29, 2021
edited by inactiveuser  Dec 29, 2021
 #2
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I don't think there is any answer posssible with the given parameters....

 Dec 29, 2021
 #3
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Let Kate's mother's age when she was born==M
Let her brother's age when she was born ==B
Her brother's age: B =1/4M - 4


8 years later, Kate's mother was M+8==4B + 4 + 8.........(1)
Her brother's age was: 
B+8 ==1/3[M+5+8]..........................(2), solve for M, B


B==7 years - when Kate was born
M==32 years - when Kate was born.


7 + 8==15 years - her brother's age now
32 + 8 ==40 years - her mother's age now
.

 Dec 30, 2021
 #4
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This answer does not work:   ( I still believe ther is no answer)

B==7 years - when Kate was born
M==32 years - when Kate was born.

 

When Kate was born, her older brother was 4 less than 1/4 of her mother's age

   1/4 ( 32) -4   = 4       not 7   as this answer states

Guest Dec 30, 2021

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