SOLUTION: Nicole is 72 years younger than 2 times Cathy's age. Maria is 144 years younger than 3 times Cathy's age. In 6 years Nicole will be 40. In six years how old will Maria be?

Question 164140: Nicole is 72 years younger than 2 times Cathy's age. Maria is 144 years younger than 3 times Cathy's age. In 6 years Nicole will be 40. In six years how old will Maria be?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let, N, C, M, be their ages now
:
Write an equation for each statement:
:
Nicole is 72 years younger than 2 times Cathy's age.
N = 2C - 72
:
Maria is 144 years younger than 3 times Cathy's age.
M = 3C - 144
;
In 6 years Nicole will be 40. In six years how old will Maria be?
N + 6 = 40
N = 40 - 6
N = 34 yrs now
:
Substitute 34 for N in the 1st equation, find C
2C - 72 = 34
2c = 34 + 72
2C = 106
C =
C = 53 is C's age now
:
Using the 2nd equation, substitute 53 for C and find M
M = 3(53) - 144
M = 159 - 144
M = 15 yrs is M's age now and in six yrs she will be 21 yrs

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