sharla is 8 year older than her sister, patricia . The sum of their ages is 102.Find their ages.​

Accepted Solution

Answer:Patricia is 47 years oldSharla is 55 years oldStep-by-step explanation:Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)S=P+8Rewrite the second sentence as an equation: S+P=1021) Substitute P+8 as Sharla in the second equation:P+8+P=1022) Combine alike terms:2P+8=1023) Subtract 8 from both sides:2P=944) Divide both sides by 2:P=475) Substitute 47 as P in the First equation:S=47+86) Solve:S=55