SOLUTION: Art: the difference between the ages of an oil painting and a watercolor is 35 years. The age of the oil painting 5 years from now will be twice the age that the watercolor was 5 y

Question 164889This question is from textbook
: Art: the difference between the ages of an oil painting and a watercolor is 35 years. The age of the oil painting 5 years from now will be twice the age that the watercolor was 5 years ago. Find the present age of each. This question is from textbook

Found 2 solutions by Mathtut, edjones:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
We have 2 unknowns we will call O-oil painting and W-water color. we need 2 equations to solve these unknows. the difference between O and W is 35 written as O-W=35. the age of O five years from now written as O+5 is equal to twice the age of W five years ago written as 2(W-5). so O+5=2(W-5). that gives us our 2 equations. solve for O in the first and you get O=35+W now substitute this into the second equation and you get (35+W)+5=2(W-5) multiply out the right side and you get 35+W+5=2W-10 solve for W which equals 50. Now we know that O=35+W(50) so O=85
answer Oil painting 0=85
Water color W=50
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let the age of the water color be w and the oil be p.
A)
p-w=35
p=35+w
B)
p+5=2(w-5)
p+5=2w-10
35+w+5=2w-10 substitute for p.
w+40=2w-10
50=w
p=85
.
Ed
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