The ages of Olivia and her brother are 10 years and 11 years respectively
Let x₁, and x₂ be the ages of Olivia and her brother respectively.
Given that Olivia's brother is twice her age minus 9 years.
⇒ x₂ = 2x₁ - 9 → equation 1
Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.
⇒ x₂ = 1/2 × (x₁ + 12) → equation 2
Using equation 1 in equation 2, we get
2x₁ - 9 = 1/2 × (x₁ + 12)
⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)
⇒ 4x₁ - x₁ = 12 + 18
⇒ 3x₁ = 30
⇒ x₁ = 10 (dividing by 3 on both sides)
Using the value of x₁, in equation 1,
⇒ x₂ = 2(10) - 9
⇒ x₂ = 20 - 9
⇒ x₂ = 11
Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.
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Answer:
1. 1/2
Step-by-step explanation:
With a graph that has easily see-able points, slope can be calculated with rise over run, or change in y divided by change in x
What does the mean? From any point, the next point will be up one and over to the right two. Since the graph is going from bottom left to top right, it is positive.
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- Heather
Answer: x= -7
Step-by-step explanation:
3x/5 + 5 = 4/5
Put the fractions in 3x/5 +5 over a common denomintator.
No. A solution is any co ordinated that lies in the blank space on the graph. (-2,-3) is in the blue shades section so it is not a solution.