+0

Kate's brother

0
42
4

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
+16
0

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

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

Dec 29, 2021
edited by inactiveuser  Dec 29, 2021
#2
0

I don't think there is any answer posssible with the given parameters....

Dec 29, 2021
#3
0

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
0

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