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.

Guest Dec 29, 2021

#1**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

Answer: 18

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

inactiveuser 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**.

Guest Dec 30, 2021