PARTC: PROBLEM SOLVING
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1. The sum of two numbers is 249. Twice the larger plus 3 times the smaller is 591 . Find the numbers.

Answer

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Answer

\(\boxed{x = 156}\) and \(\boxed{y = 93}\)

Steps

Step 1 ：Given two equations with two variables: \(x + y = 249\) and \(2x + 3y = 591\)

Step 2 ：Solve the first equation for x: \(x = 249 - y\)

Step 3 ：Substitute the expression for x into the second equation: \(2(249 - y) + 3y = 591\)

Step 4 ：Solve for y: \(y = 93\)

Step 5 ：Find the value of x using the expression: \(x = 249 - 93\)

Step 6 ：\(\boxed{x = 156}\) and \(\boxed{y = 93}\)