Ann is x years old and her sister is 2 years older. If the product of their ages 80. Form an equation in x and solve to find the age of each.
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I got up to,
x + 2x = 80
x + 2x - 80 = 0
and now im confused... this is for an exam, help?
product means multiply:
x(x+2) = 80
Note that 8*10 = 80
To solve the equation, x + 2x - 80 = 0, you can follow these steps:
1. Combine like terms on the left side of the equation: 3x - 80 = 0.
2. Add 80 to both sides of the equation to isolate the variable term: 3x = 80.
3. Divide both sides of the equation by 3 to solve for x: x = 80/3.
4. Simplify the fraction: x ≈ 26.67.
Since age is typically a whole number, you can round x down to the nearest whole number, making x = 26.
To find the age of both Ann and her sister, you can substitute the value of x back into the original problem.
Ann's age: x = 26
Sister's age: x + 2 = 26 + 2 = 28
Therefore, Ann is 26 years old, and her sister is 28 years old.