Cristy’s age 15 yrs ago equals the sum of 2/9 of her age 15 yrs hence and 1/6 of her age ago. How old is she now?
a.27
b.28
c.29
d.30
c-15 = (2/9)(c+15) + c/6
1/6 0r c/6
To solve this problem, let's first break down the information given:
Let "x" represent Cristy's current age.
15 years ago, her age was (x - 15).
15 years from now, her age will be (x + 15).
According to the problem, her age 15 years ago, which is (x - 15), equals the sum of 2/9 of her age 15 years hence, which is (2/9)*(x + 15), and 1/6 of her age ago, which is (1/6)*x.
We can set up the equation:
x - 15 = (2/9)*(x + 15) + (1/6)*x
To solve for "x," we need to simplify the equation:
Multiply through by the lowest common multiple of the denominators, which is 18:
18(x - 15) = 2(x + 15) + 3x
18x - 270 = 2x + 30 + 3x
18x - 270 = 5x + 30
Combine like terms:
18x - 5x = 270 + 30
13x = 300
Divide both sides by 13:
x = 300/13
x ≈ 23.08
Therefore, Cristy is approximately 23.08 years old now.
None of the answer options provided match this result. It's possible that there may be a mistake in the problem statement or answer choices.