SOLUTION: Mrs. Evans is sixteen times as old as her daughter is, but in eight years she will only be four times as old as her daughter will be. How old is each now? x=16y

Question 955919: Mrs. Evans is sixteen times as old as her daughter is, but in eight years she will only be four times as old as her daughter will be. How old is each now?
x=16y
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
x=16y
M=mother; D=daughter
M=16D
M+8=4(D+8) Substitute for M.
16D+8=4D+32 Subtract 4D+8 from each side.
12D=24 Divide each side by 12.
D=2 ANSWER 1: The daughter is 2 years old.
M=16D=16(2)=32 ANSWER 2: The mother is 32 years old.
CHECK:
M+8=4(D+8)
32+8=4(2+8)
40=4(10)
40=40

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